Fractional Calculus and Hypergeometric Functions in Complex Analysis
This reprint of the Special Issue on "Fractional Calculus and Hypergeometric Functions in Complex Analysis" has resulted in the publication of articles covering a wide range of topics. For example, the powerful and prolific tools provided by fractional calculus are combined with hypergeometric funct...
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| Materiálatiipa: | Online |
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| Giella: | eaŋgalasgiella |
| Almmustuhtton: |
MDPI - Multidisciplinary Digital Publishing Institute
2024
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| Fáttát: | |
| Liŋkkat: | ONIX_20240704_9783725810987_43 |
| Fáddágilkorat: |
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| _version_ | 1869518048609697792 |
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| collection | Directory of Open Access Books |
| description | This reprint of the Special Issue on "Fractional Calculus and Hypergeometric Functions in Complex Analysis" has resulted in the publication of articles covering a wide range of topics. For example, the powerful and prolific tools provided by fractional calculus are combined with hypergeometric functions, which generates exciting results when integrated into studies. Quantum calculus is also involved in various investigations, alongside fractional calculus notions and methods, resulting in new, powerful operators for application in geometric function theory and other connected fields of research. Scholars studying applications of fractional calculus and hypergeometric functions in complex analysis and related fields should find this Special Issue interesting. |
| format | Online |
| id | doab-20.500.12854ir-139247 |
| institution | Directory of Open Access Books |
| 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-1392472024-07-04T09:32:05Z Fractional Calculus and Hypergeometric Functions in Complex Analysis Oros, Gheorghe Oros, Georgia quantum calculus fractional calculus fractional differential equation analytic function subordination and superordination univalent function fractional differential operator starlike function exponential function Hankel determinant logarithmic coefficient libera integral operator fractional integral of order ? differential subordination strongly of order ? left and right exponential trigonometric convex interval-valued mappings Riemann–Liouville fractional integral operators having exponential kernels Hermite–Hadamard inequalities quantum (or q-) calculus analytic functions univalent functions q-derivative operator convex functions starlike functions bi-univalent functions Faber polynomial expansion bi-univalent function Fekete–Szegö problem second Hankel determinant Euler polynomials fractional-order equations collocation method Liouville–Caputo’s fractional derivative operator error analysis Tau method incomplete Wright hypergeometric functions pathway-type transform fractional kinetic equations convolution q-difference operator q-integral operator q-starlike and q-convex functions S?l?gean q-differential operator meromorphic multivalent q-starlike functions Janowski functions Bailey quadratic transformation generalized hypergeometric function Kampé de Fériet’s double hypergeometric function series rearrangement technique Srivastava–Daoust double hypergeometric function Whipple transformations left-sided Riemann–Liouville fractional integral subordination sharp upper bound generalized domain n/a thema EDItEUR::U Computing and Information Technology::UY Computer science This reprint of the Special Issue on "Fractional Calculus and Hypergeometric Functions in Complex Analysis" has resulted in the publication of articles covering a wide range of topics. For example, the powerful and prolific tools provided by fractional calculus are combined with hypergeometric functions, which generates exciting results when integrated into studies. Quantum calculus is also involved in various investigations, alongside fractional calculus notions and methods, resulting in new, powerful operators for application in geometric function theory and other connected fields of research. Scholars studying applications of fractional calculus and hypergeometric functions in complex analysis and related fields should find this Special Issue interesting. 2024-07-04T09:32:01Z 2024-07-04T09:32:01Z 2024 book ONIX_20240704_9783725810987_43 9783725810987 9783725810970 https://directory.doabooks.org/handle/20.500.12854/139247 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/9242 https://mdpi.com/books/pdfview/book/9242 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-1097-0 10.3390/books978-3-7258-1097-0 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725810987 9783725810970 238 open access |
| spellingShingle | quantum calculus fractional calculus fractional differential equation analytic function subordination and superordination univalent function fractional differential operator starlike function exponential function Hankel determinant logarithmic coefficient libera integral operator fractional integral of order ? differential subordination strongly of order ? left and right exponential trigonometric convex interval-valued mappings Riemann–Liouville fractional integral operators having exponential kernels Hermite–Hadamard inequalities quantum (or q-) calculus analytic functions univalent functions q-derivative operator convex functions starlike functions bi-univalent functions Faber polynomial expansion bi-univalent function Fekete–Szegö problem second Hankel determinant Euler polynomials fractional-order equations collocation method Liouville–Caputo’s fractional derivative operator error analysis Tau method incomplete Wright hypergeometric functions pathway-type transform fractional kinetic equations convolution q-difference operator q-integral operator q-starlike and q-convex functions S?l?gean q-differential operator meromorphic multivalent q-starlike functions Janowski functions Bailey quadratic transformation generalized hypergeometric function Kampé de Fériet’s double hypergeometric function series rearrangement technique Srivastava–Daoust double hypergeometric function Whipple transformations left-sided Riemann–Liouville fractional integral subordination sharp upper bound generalized domain n/a thema EDItEUR::U Computing and Information Technology::UY Computer science Fractional Calculus and Hypergeometric Functions in Complex Analysis |
| title | Fractional Calculus and Hypergeometric Functions in Complex Analysis |
| title_full | Fractional Calculus and Hypergeometric Functions in Complex Analysis |
| title_fullStr | Fractional Calculus and Hypergeometric Functions in Complex Analysis |
| title_full_unstemmed | Fractional Calculus and Hypergeometric Functions in Complex Analysis |
| title_short | Fractional Calculus and Hypergeometric Functions in Complex Analysis |
| title_sort | fractional calculus and hypergeometric functions in complex analysis |
| topic | quantum calculus fractional calculus fractional differential equation analytic function subordination and superordination univalent function fractional differential operator starlike function exponential function Hankel determinant logarithmic coefficient libera integral operator fractional integral of order ? differential subordination strongly of order ? left and right exponential trigonometric convex interval-valued mappings Riemann–Liouville fractional integral operators having exponential kernels Hermite–Hadamard inequalities quantum (or q-) calculus analytic functions univalent functions q-derivative operator convex functions starlike functions bi-univalent functions Faber polynomial expansion bi-univalent function Fekete–Szegö problem second Hankel determinant Euler polynomials fractional-order equations collocation method Liouville–Caputo’s fractional derivative operator error analysis Tau method incomplete Wright hypergeometric functions pathway-type transform fractional kinetic equations convolution q-difference operator q-integral operator q-starlike and q-convex functions S?l?gean q-differential operator meromorphic multivalent q-starlike functions Janowski functions Bailey quadratic transformation generalized hypergeometric function Kampé de Fériet’s double hypergeometric function series rearrangement technique Srivastava–Daoust double hypergeometric function Whipple transformations left-sided Riemann–Liouville fractional integral subordination sharp upper bound generalized domain n/a thema EDItEUR::U Computing and Information Technology::UY Computer science |
| topic_facet | quantum calculus fractional calculus fractional differential equation analytic function subordination and superordination univalent function fractional differential operator starlike function exponential function Hankel determinant logarithmic coefficient libera integral operator fractional integral of order ? differential subordination strongly of order ? left and right exponential trigonometric convex interval-valued mappings Riemann–Liouville fractional integral operators having exponential kernels Hermite–Hadamard inequalities quantum (or q-) calculus analytic functions univalent functions q-derivative operator convex functions starlike functions bi-univalent functions Faber polynomial expansion bi-univalent function Fekete–Szegö problem second Hankel determinant Euler polynomials fractional-order equations collocation method Liouville–Caputo’s fractional derivative operator error analysis Tau method incomplete Wright hypergeometric functions pathway-type transform fractional kinetic equations convolution q-difference operator q-integral operator q-starlike and q-convex functions S?l?gean q-differential operator meromorphic multivalent q-starlike functions Janowski functions Bailey quadratic transformation generalized hypergeometric function Kampé de Fériet’s double hypergeometric function series rearrangement technique Srivastava–Daoust double hypergeometric function Whipple transformations left-sided Riemann–Liouville fractional integral subordination sharp upper bound generalized domain n/a thema EDItEUR::U Computing and Information Technology::UY Computer science |
| url | ONIX_20240704_9783725810987_43 |