Some Mathieu-type series associated with the Fox-Wright function
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Publication:2389085
DOI10.1016/j.camwa.2008.07.016zbMath1165.33309OpenAlexW2048064612MaRDI QIDQ2389085
Tibor K. Pogány, Hari M. Srivastava
Publication date: 14 July 2009
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2008.07.016
exponential inequalityDirichlet seriesfox-wright \(p\Psi q\) functionhypergeometric \(pFq\) functionintegral representations of seriesmathieu-type series
Related Items (20)
Geometric properties of the four parameters Wright function ⋮ Strange evaluations of Fox–Wright function ⋮ New inequalities for some generalized Mathieu type series and the Riemann zeta function ⋮ On multi-index Whittaker function, related integrals and inequalities ⋮ A family of summation formulas on the Fox-Wright function ⋮ On properties and applications of \((p, q)\)-extended \(\tau\)-hypergeometric functions ⋮ Two-sided inequalities for the extended Hurwitz-Lerch zeta function ⋮ ON GEOMETRIC PROPERTIES OF THE MITTAG-LEFFLER AND WRIGHT FUNCTIONS ⋮ New results for Srivastava’s λ-generalized Hurwitz-Lerch Zeta function ⋮ Integrals of ratios of Fox-Wright and incomplete Fox-Wright functions with applications ⋮ Mathieu series and associated sums involving the zeta functions ⋮ Some Mathieu-type series for generalizedH-function associated with a certain class of Feynman integrals ⋮ New integral representations for the Fox-Wright functions and its applications. II ⋮ New integral representations for the Fox-Wright functions and its applications ⋮ Geometric properties of the products of modified Bessel functions of the first kind ⋮ New properties for several classes of functions related to the Fox-Wright functions ⋮ On Mathieu-type series for the unified Gaussian hypergeometric functions ⋮ On some geometric properties for the combination of generalized Lommel-Wright function ⋮ Some geometric properties of a class of functions related to the Fox-Wright functions ⋮ Monotonicity patterns and functional inequalities for classical and generalized Wright functions
Cites Work
- On Mathieu-type series whose terms contain a generalized hypergeometric function \(_pF_q\) and Meijer's \(G\)-function
- Integral representation of a series which includes the Mathieu \(\mathbf a\)-series
- Integral expressions for Mathieu-type series whose terms contain Fox's \(H\)-function
- Gurland's ratio for the gamma function
- Some families of Mathieu \(\mathbf a\)-series and alternating Mathieu \(\mathbf a\)-series
- Logarithmically completely monotonic functions relating to the gamma function
- Inequalities for generalized hypergeometric functions
- Integral representation of Mathieu (a, λ)-series
- On multiple generalized Mathieu series
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