Mathematical Analysis and Analytic Number Theory 2019

This volume is a collection of investigations involving the theory and applications of the various tools and techniques of mathematical analysis and analytic number theory, which are remarkably widespread in many diverse areas of the mathematical, biological, physical, chemical, engineering, and sta...

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description This volume is a collection of investigations involving the theory and applications of the various tools and techniques of mathematical analysis and analytic number theory, which are remarkably widespread in many diverse areas of the mathematical, biological, physical, chemical, engineering, and statistical sciences. It contains invited and welcome original as well as review-cum-expository research articles dealing with recent and new developments on the topics of mathematical analysis and analytic number theory as well as their multidisciplinary applications.
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language eng
publishDate 2021
publishDateRange 2021
publishDateSort 2021
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
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spelling doab-20.500.12854ir-685472024-03-28T03:32:16Z Mathematical Analysis and Analytic Number Theory 2019 Srivastava, Rekha subordination functions with positive real part reciprocals univalent functions starlikeness convexity close-to-convexity hyper-Bessel functions Hardy space distribution fractional Laplacian Riesz fractional derivative delta sequence convolution subordinations starlike functions convex functions close-to-convex functions cardioid domain Hankel determinant m-fold symmetric functions harmonic univalent functions with symmetric conjecture point integral expressions coefficient estimates distortion umbral methods harmonic numbers special functions integral representations laplace and other integral transforms analytic functions quasi-Hadamard differential operator closure property riemann zeta function asymptotics exponential sums multivalent functions q-Ruschweyh differential operator q-starlike functions circular domain q-Bernardi integral operator Bessel functions Appell–Bessel functions generating functions Chebyshev polynomials Euler sums Catalan’s constant Trigamma function integral representation closed form ArcTan and ArcTanh functions partial fractions Lambert series cotangent sum modular transformation Dedekind sum lemniscate of Bernoulli Hankel determinant determinant inverse Mersenne number periodic tridiagonal Toeplitz matrix Sherman-Morrison-Woodbury formula Fibonacci number Lucas number Toeplitz matrix Hankel matrix univalent function second Hankel determinant bi-close-to-convex functions gamma function and its extension Pochhammer symbol and its extensions hypergeometric function and its extensions τ-Gauss hypergeometric function and its extensions τ-Kummer hypergeometric function Fox-Wright function p-valent analytic function Hadamard product q-integral operator generalized Lupaş operators q analogue Korovkin’s type theorem convergence theorems Voronovskaya type theorem starlike function subordinate Janowski functions conic domain q-convex functions q-close-to-convex functions theta-function identities multivariable R-functions Jacobi’s triple-product identity Ramanujan’s theta functions q-product identities Euler’s pentagonal number theorem Rogers-Ramanujan continued fraction Rogers-Ramanujan identities combinatorial partition-theoretic identities Schur’s, the Göllnitz-Gordon’s and the Göllnitz’s partition identities Schur’s second partition theorem thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science This volume is a collection of investigations involving the theory and applications of the various tools and techniques of mathematical analysis and analytic number theory, which are remarkably widespread in many diverse areas of the mathematical, biological, physical, chemical, engineering, and statistical sciences. It contains invited and welcome original as well as review-cum-expository research articles dealing with recent and new developments on the topics of mathematical analysis and analytic number theory as well as their multidisciplinary applications. 2021-05-01T15:12:23Z 2021-05-01T15:12:23Z 2021 book ONIX_20210501_9783036500324_293 9783036500324 9783036500331 https://directory.doabooks.org/handle/20.500.12854/68547 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/3568 https://mdpi.com/books/pdfview/book/3568 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-0033-1 10.3390/books978-3-0365-0033-1 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036500324 9783036500331 318 Basel, Switzerland open access
spellingShingle subordination
functions with positive real part
reciprocals
univalent functions
starlikeness
convexity
close-to-convexity
hyper-Bessel functions
Hardy space
distribution
fractional Laplacian
Riesz fractional derivative
delta sequence
convolution
subordinations
starlike functions
convex functions
close-to-convex functions
cardioid domain
Hankel determinant
m-fold symmetric functions
harmonic univalent functions
with symmetric conjecture point
integral expressions
coefficient estimates
distortion
umbral methods
harmonic numbers
special functions
integral representations
laplace and other integral transforms
analytic functions
quasi-Hadamard
differential operator
closure property
riemann zeta function
asymptotics
exponential sums
multivalent functions
q-Ruschweyh differential operator
q-starlike functions
circular domain
q-Bernardi integral operator
Bessel functions
Appell–Bessel functions
generating functions
Chebyshev polynomials
Euler sums
Catalan’s constant
Trigamma function
integral representation
closed form
ArcTan and ArcTanh functions
partial fractions
Lambert series
cotangent sum
modular transformation
Dedekind sum
lemniscate of Bernoulli Hankel determinant
determinant
inverse
Mersenne number
periodic tridiagonal Toeplitz matrix
Sherman-Morrison-Woodbury formula
Fibonacci number
Lucas number
Toeplitz matrix
Hankel matrix
univalent function
second Hankel determinant
bi-close-to-convex functions
gamma function and its extension
Pochhammer symbol and its extensions
hypergeometric function and its extensions
τ-Gauss hypergeometric function and its extensions
τ-Kummer hypergeometric function
Fox-Wright function
p-valent analytic function
Hadamard product
q-integral operator
generalized Lupaş operators
q analogue
Korovkin’s type theorem
convergence theorems
Voronovskaya type theorem
starlike function
subordinate
Janowski functions
conic domain
q-convex functions
q-close-to-convex functions
theta-function identities
multivariable R-functions
Jacobi’s triple-product identity
Ramanujan’s theta functions
q-product identities
Euler’s pentagonal number theorem
Rogers-Ramanujan continued fraction
Rogers-Ramanujan identities
combinatorial partition-theoretic identities
Schur’s, the Göllnitz-Gordon’s and the Göllnitz’s partition identities
Schur’s second partition theorem
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
Mathematical Analysis and Analytic Number Theory 2019
title Mathematical Analysis and Analytic Number Theory 2019
title_full Mathematical Analysis and Analytic Number Theory 2019
title_fullStr Mathematical Analysis and Analytic Number Theory 2019
title_full_unstemmed Mathematical Analysis and Analytic Number Theory 2019
title_short Mathematical Analysis and Analytic Number Theory 2019
title_sort mathematical analysis and analytic number theory 2019
topic subordination
functions with positive real part
reciprocals
univalent functions
starlikeness
convexity
close-to-convexity
hyper-Bessel functions
Hardy space
distribution
fractional Laplacian
Riesz fractional derivative
delta sequence
convolution
subordinations
starlike functions
convex functions
close-to-convex functions
cardioid domain
Hankel determinant
m-fold symmetric functions
harmonic univalent functions
with symmetric conjecture point
integral expressions
coefficient estimates
distortion
umbral methods
harmonic numbers
special functions
integral representations
laplace and other integral transforms
analytic functions
quasi-Hadamard
differential operator
closure property
riemann zeta function
asymptotics
exponential sums
multivalent functions
q-Ruschweyh differential operator
q-starlike functions
circular domain
q-Bernardi integral operator
Bessel functions
Appell–Bessel functions
generating functions
Chebyshev polynomials
Euler sums
Catalan’s constant
Trigamma function
integral representation
closed form
ArcTan and ArcTanh functions
partial fractions
Lambert series
cotangent sum
modular transformation
Dedekind sum
lemniscate of Bernoulli Hankel determinant
determinant
inverse
Mersenne number
periodic tridiagonal Toeplitz matrix
Sherman-Morrison-Woodbury formula
Fibonacci number
Lucas number
Toeplitz matrix
Hankel matrix
univalent function
second Hankel determinant
bi-close-to-convex functions
gamma function and its extension
Pochhammer symbol and its extensions
hypergeometric function and its extensions
τ-Gauss hypergeometric function and its extensions
τ-Kummer hypergeometric function
Fox-Wright function
p-valent analytic function
Hadamard product
q-integral operator
generalized Lupaş operators
q analogue
Korovkin’s type theorem
convergence theorems
Voronovskaya type theorem
starlike function
subordinate
Janowski functions
conic domain
q-convex functions
q-close-to-convex functions
theta-function identities
multivariable R-functions
Jacobi’s triple-product identity
Ramanujan’s theta functions
q-product identities
Euler’s pentagonal number theorem
Rogers-Ramanujan continued fraction
Rogers-Ramanujan identities
combinatorial partition-theoretic identities
Schur’s, the Göllnitz-Gordon’s and the Göllnitz’s partition identities
Schur’s second partition theorem
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
topic_facet subordination
functions with positive real part
reciprocals
univalent functions
starlikeness
convexity
close-to-convexity
hyper-Bessel functions
Hardy space
distribution
fractional Laplacian
Riesz fractional derivative
delta sequence
convolution
subordinations
starlike functions
convex functions
close-to-convex functions
cardioid domain
Hankel determinant
m-fold symmetric functions
harmonic univalent functions
with symmetric conjecture point
integral expressions
coefficient estimates
distortion
umbral methods
harmonic numbers
special functions
integral representations
laplace and other integral transforms
analytic functions
quasi-Hadamard
differential operator
closure property
riemann zeta function
asymptotics
exponential sums
multivalent functions
q-Ruschweyh differential operator
q-starlike functions
circular domain
q-Bernardi integral operator
Bessel functions
Appell–Bessel functions
generating functions
Chebyshev polynomials
Euler sums
Catalan’s constant
Trigamma function
integral representation
closed form
ArcTan and ArcTanh functions
partial fractions
Lambert series
cotangent sum
modular transformation
Dedekind sum
lemniscate of Bernoulli Hankel determinant
determinant
inverse
Mersenne number
periodic tridiagonal Toeplitz matrix
Sherman-Morrison-Woodbury formula
Fibonacci number
Lucas number
Toeplitz matrix
Hankel matrix
univalent function
second Hankel determinant
bi-close-to-convex functions
gamma function and its extension
Pochhammer symbol and its extensions
hypergeometric function and its extensions
τ-Gauss hypergeometric function and its extensions
τ-Kummer hypergeometric function
Fox-Wright function
p-valent analytic function
Hadamard product
q-integral operator
generalized Lupaş operators
q analogue
Korovkin’s type theorem
convergence theorems
Voronovskaya type theorem
starlike function
subordinate
Janowski functions
conic domain
q-convex functions
q-close-to-convex functions
theta-function identities
multivariable R-functions
Jacobi’s triple-product identity
Ramanujan’s theta functions
q-product identities
Euler’s pentagonal number theorem
Rogers-Ramanujan continued fraction
Rogers-Ramanujan identities
combinatorial partition-theoretic identities
Schur’s, the Göllnitz-Gordon’s and the Göllnitz’s partition identities
Schur’s second partition theorem
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
url ONIX_20210501_9783036500324_293