New Developments in Geometric Function Theory II

This project aimed to gather together the latest developments in research concerning complex-valued functions from the perspective of geometric function theory. Scholars’ contributions were sought on topics including, but not limited to: new classes of univalent and bi-univalent functions; studies r...

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Хэвлэсэн: MDPI - Multidisciplinary Digital Publishing Institute 2024
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Онлайн хандалт:ONIX_20240514_9783725808168_520
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_version_ 1869514812951625728
collection Directory of Open Access Books
description This project aimed to gather together the latest developments in research concerning complex-valued functions from the perspective of geometric function theory. Scholars’ contributions were sought on topics including, but not limited to: new classes of univalent and bi-univalent functions; studies regarding coefficient estimates including the Fekete–Szego functional, Hankel determinants, and Toeplitz matrices; applications of different types of operators in geometric function theory including differential, integral, fractional, or quantum calculus operators; differential subordination and superordination theories in their classical form and also concerning their recent extensions—strong and fuzzy differential subordination and superordination theories; applications of different hypergeometric functions and orthogonal polynomials in geometric function theory. The presentation of new results obtained by using any other techniques which can be applied in the field of complex analysis were also welcomed. Hopefully, through this project, new lines of research associated with geometric function theory have been highlighted and will serve to boost development in this field.
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language eng
publishDate 2024
publishDateRange 2024
publishDateSort 2024
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
record_format ojs
spelling doab-20.500.12854ir-1379052024-05-14T14:54:41Z New Developments in Geometric Function Theory II Oros, Georgia analytic function starlike function convex function univalent function Gegenbauer polynomials Bell numbers sigmoid function fekete-Szegö problem horadam polynomials bi-univalent functions bell distribution analytic functions product log-harmonic function convex-exponent combination starlike and spirallike functions quantum calculus q-series q-Lidstone polynomials completely convex functions bi-univalent function Fekete-Szegö problem coefficient bound Laguerre polynomial (p,q)-Wanas operator subordination univalent functions Faber polynomial q- derivative operator Miller–Ross functions univalence convexity special functions integral operators quantum (or q-) calculus q-derivative operator Faber polynomial expansions harmonic harmonic starlike harmonic convex Mittag-Leffler function starlike functions Bernoulli’s number of second kind radii problems inclusion results coefficient bounds Hankel determinants binomial series convolution operator involution numbers regular Fekete–Szegö inequality bi-univalent analytic and univalent function coefficient estimates admissible function strong differential subordination dominants multivalent function n/a thema EDItEUR::U Computing and Information Technology::UY Computer science This project aimed to gather together the latest developments in research concerning complex-valued functions from the perspective of geometric function theory. Scholars’ contributions were sought on topics including, but not limited to: new classes of univalent and bi-univalent functions; studies regarding coefficient estimates including the Fekete–Szego functional, Hankel determinants, and Toeplitz matrices; applications of different types of operators in geometric function theory including differential, integral, fractional, or quantum calculus operators; differential subordination and superordination theories in their classical form and also concerning their recent extensions—strong and fuzzy differential subordination and superordination theories; applications of different hypergeometric functions and orthogonal polynomials in geometric function theory. The presentation of new results obtained by using any other techniques which can be applied in the field of complex analysis were also welcomed. Hopefully, through this project, new lines of research associated with geometric function theory have been highlighted and will serve to boost development in this field. 2024-05-14T14:54:36Z 2024-05-14T14:54:36Z 2024 book ONIX_20240514_9783725808168_520 9783725808168 9783725808151 https://directory.doabooks.org/handle/20.500.12854/137905 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/9167 https://mdpi.com/books/pdfview/book/9167 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-0815-1 10.3390/books978-3-7258-0815-1 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725808168 9783725808151 214 open access
spellingShingle analytic function
starlike function
convex function
univalent function
Gegenbauer polynomials
Bell numbers
sigmoid function
fekete-Szegö problem
horadam polynomials
bi-univalent functions
bell distribution
analytic functions
product
log-harmonic function
convex-exponent combination
starlike and spirallike functions
quantum calculus
q-series
q-Lidstone polynomials
completely convex functions
bi-univalent function
Fekete-Szegö problem
coefficient bound
Laguerre polynomial
(p,q)-Wanas operator
subordination
univalent functions
Faber polynomial
q- derivative operator
Miller–Ross functions
univalence
convexity
special functions
integral operators
quantum (or q-) calculus
q-derivative operator
Faber polynomial expansions
harmonic
harmonic starlike
harmonic convex
Mittag-Leffler function
starlike functions
Bernoulli’s number of second kind
radii problems
inclusion results
coefficient bounds
Hankel determinants
binomial series
convolution operator
involution numbers
regular
Fekete–Szegö inequality
bi-univalent
analytic and univalent function
coefficient estimates
admissible function
strong differential subordination
dominants
multivalent function
n/a
thema EDItEUR::U Computing and Information Technology::UY Computer science
New Developments in Geometric Function Theory II
title New Developments in Geometric Function Theory II
title_full New Developments in Geometric Function Theory II
title_fullStr New Developments in Geometric Function Theory II
title_full_unstemmed New Developments in Geometric Function Theory II
title_short New Developments in Geometric Function Theory II
title_sort new developments in geometric function theory ii
topic analytic function
starlike function
convex function
univalent function
Gegenbauer polynomials
Bell numbers
sigmoid function
fekete-Szegö problem
horadam polynomials
bi-univalent functions
bell distribution
analytic functions
product
log-harmonic function
convex-exponent combination
starlike and spirallike functions
quantum calculus
q-series
q-Lidstone polynomials
completely convex functions
bi-univalent function
Fekete-Szegö problem
coefficient bound
Laguerre polynomial
(p,q)-Wanas operator
subordination
univalent functions
Faber polynomial
q- derivative operator
Miller–Ross functions
univalence
convexity
special functions
integral operators
quantum (or q-) calculus
q-derivative operator
Faber polynomial expansions
harmonic
harmonic starlike
harmonic convex
Mittag-Leffler function
starlike functions
Bernoulli’s number of second kind
radii problems
inclusion results
coefficient bounds
Hankel determinants
binomial series
convolution operator
involution numbers
regular
Fekete–Szegö inequality
bi-univalent
analytic and univalent function
coefficient estimates
admissible function
strong differential subordination
dominants
multivalent function
n/a
thema EDItEUR::U Computing and Information Technology::UY Computer science
topic_facet analytic function
starlike function
convex function
univalent function
Gegenbauer polynomials
Bell numbers
sigmoid function
fekete-Szegö problem
horadam polynomials
bi-univalent functions
bell distribution
analytic functions
product
log-harmonic function
convex-exponent combination
starlike and spirallike functions
quantum calculus
q-series
q-Lidstone polynomials
completely convex functions
bi-univalent function
Fekete-Szegö problem
coefficient bound
Laguerre polynomial
(p,q)-Wanas operator
subordination
univalent functions
Faber polynomial
q- derivative operator
Miller–Ross functions
univalence
convexity
special functions
integral operators
quantum (or q-) calculus
q-derivative operator
Faber polynomial expansions
harmonic
harmonic starlike
harmonic convex
Mittag-Leffler function
starlike functions
Bernoulli’s number of second kind
radii problems
inclusion results
coefficient bounds
Hankel determinants
binomial series
convolution operator
involution numbers
regular
Fekete–Szegö inequality
bi-univalent
analytic and univalent function
coefficient estimates
admissible function
strong differential subordination
dominants
multivalent function
n/a
thema EDItEUR::U Computing and Information Technology::UY Computer science
url ONIX_20240514_9783725808168_520