Results 1 to 10 of about 608 (40)

Some Generating Functions for <i>q</i>-Polynomials. [PDF]

open access: yesSymmetry (Basel), 2018
We obtain q-analogues of the Sylvester, Ces\`aro, Pasternack, and Bateman polynomials.
Cohl HS, Costas-Santos RS, Wakhare TV.
europepmc   +2 more sources

Some hypergeometric integrals for linear forms in zeta values [PDF]

open access: yes, 2018
We prove integral representations of the approximation forms in zeta values constructed in arXiv:1801.09895 and arXiv:1803.08905.Comment: 3 ...
Zudilin, Wadim
core   +7 more sources

On generalized fractional integral with multivariate Mittag-Leffler function and its applications

open access: yesAlexandria Engineering Journal, 2022
The fractional calculus (FC) has been extensively studied by researchers due to its vast applications in sciences in the last few years. In fractional calculus, multivariate Mittag–Leffler functions are considered the powerful extension of the classical ...
Amna Nazir   +6 more
doaj   +1 more source

Discrete complementary exponential and sine integral functions

open access: yesDemonstratio Mathematica, 2023
Discrete analogues of the sine integral and complementary exponential integral functions are investigated. Hypergeometric representation, power series, and Laplace transforms are derived for each.
Assaf Samer, Cuchta Tom
doaj   +1 more source

Certain integral transforms concerning the product of family of polynomials and generalized incomplete functions

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In this article, we have derived some integral transforms of the polynomial weighted incomplete H-functions and incomplete ̄H-functions. The obtained image formulas are of general nature and may, as special cases, give rise to integral transforms ...
Meena Sapna   +3 more
doaj   +1 more source

K-Bessel functions associated to 3-rank Jordan algebra [PDF]

open access: yes, 2005
Using Bessel-Muirhead system, we can express the K-bessel function defined on a Jordan algebra as linear combination of the J-solutions. We determine explicitly the coefficients when the rank of this Jordan algebra is three after a reduction to the rank ...
Dib, Hacen
core   +10 more sources

Generalized Mittag-Leffler Type Function: Fractional Integrations and Application to Fractional Kinetic Equations

open access: yesFrontiers in Physics, 2020
The generalized fractional integrations of the generalized Mittag-Leffler type function (GMLTF) are established in this paper. The results derived in this paper generalize many results available in the literature and are capable of generating several ...
Kottakkaran Sooppy Nisar
doaj   +1 more source

Geometric convexity of the generalized sine and the generalized hyperbolic sine [PDF]

open access: yes, 2013
In the paper, the authors prove that the generalized sine function $\sin_{p,q}(x)$ and the generalized hyperbolic sine function $\sinh_{p,q}(x)$ are geometrically concave and geometrically convex, respectively.
Jiang, Wei-Dong, Qi, Feng
core   +1 more source

On monodromy representation of period integrals associated to an algebraic curve with bi-degree (2,2)

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
We study a problem related to Kontsevich's homological mirror symmetry conjecture for the case of a generic curve Y with bi-degree (2,2) in a product of projective lines ℙ1 × ℙ1.
Tanabé Susumu
doaj   +1 more source

Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators

open access: yesArab Journal of Mathematical Sciences, 2019
In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators.
M. Kamarujjama, N.U. Khan, Owais Khan
doaj   +1 more source

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