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Fractional Calculus Operators and the Mittag-Leffler Function
| Fractional Calculus Operators and the Mittag-Leffler Function |
| Autore | Andrić Maja |
| Pubbl/distr/stampa | MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
| Descrizione fisica | 1 electronic resource (258 p.) |
| Soggetto topico |
Research & information: general
Mathematics & science |
| Soggetto non controllato |
fractional derivative
generalized Mittag-Leffler kernel (GMLK) Legendre polynomials Legendre spectral collocation method dynamical systems random time change inverse subordinator asymptotic behavior Mittag-Leffler function data fitting magnetization magnetic fluids Gamma function Psi function Pochhammer symbol hypergeometric function 2F1 generalized hypergeometric functions tFu Gauss's summation theorem for 2F1(1) Kummer's summation theorem for 2F1(−1) generalized Kummer's summation theorem for 2F1(−1) Stirling numbers of the first kind Hilfer-Hadamard fractional derivative Riemann-Liouville fractional derivative Caputo fractional derivative fractional differential equations inclusions nonlocal boundary conditions existence and uniqueness fixed point gamma function Beta function Generalized Mittag-Leffler functions generalized hypergeometric function Fox-Wright function recurrence relations Riemann-Liouville fractional calculus operators (α, h-m)-p-convex function Fejér-Hadamard inequality extended generalized fractional integrals Mittag-Leffler functions initial value problems Laplace transform exact solution Chebyshev inequality Pólya-Szegö inequality fractional integral operators Wright function Srivastava's polynomials fractional calculus operators Lavoie-Trottier integral formula Oberhettinger integral formula fractional partial differential equation boundary value problem separation of variables Mittag-Leffler Abel-Gontscharoff Green's function Hermite-Hadamard inequalities convex function κ-Riemann-Liouville fractional integral Dirichlet averages B-splines dirichlet splines Riemann-Liouville fractional integrals hypergeometric functions of one and several variables generalized Mittag-Leffler type function Srivastava-Daoust generalized Lauricella hypergeometric function fractional calculus Hermite-Hadamard inequality Fox H function subordinator and inverse stable subordinator Lamperti law order statistic |
| ISBN | 3-0365-5368-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910619461803321 |
Andrić Maja
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| MDPI - Multidisciplinary Digital Publishing Institute, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematical Analysis and Analytic Number Theory 2019
| Mathematical Analysis and Analytic Number Theory 2019 |
| Autore | Srivastava Rekha |
| Pubbl/distr/stampa | Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 |
| Descrizione fisica | 1 electronic resource (318 p.) |
| Soggetto topico |
Research & information: general
Mathematics & science |
| Soggetto non controllato |
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 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910557507003321 |
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Srivastava Rekha
|
||
| Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||