Results 81 to 90 of about 6,414,954 (167)
Mathematics, 2019 Several fractional calculus operators have been introduced and investigated. In this sequence, we aim to establish the Marichev-Saigo-Maeda (MSM) fractional calculus operators and Caputo-type MSM fractional differential operators of extended Mittag ...
Serkan Araci +4 more
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Fractional differential equations for the generalized Mittag-Leffler function
Advances in Difference Equations, 2018 In this paper, we establish some (presumably new) differential equation formulas for the extended Mittag-Leffler-type function by using the Saigo-Maeda fractional differential operators involving the Appell function F3(⋅) $F_{3}(\cdot)$ and results in ...
Praveen Agarwal +3 more
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On the extended Appell-Lauricella hypergeometric functions and their applications
Filomat, 2017 The main object of this paper is to present a systematic introduction to the theory and applications of the extended Appell-Lauricella hypergeometric functions defined by means of the extended beta function and extended Dirichlet?s beta integral.
Agarwal, Ravi P. +2 more
openaire +3 more sources
Generalized Laplace transform with matrix variables
International Journal of Mathematics and Mathematical Sciences, 1987 In the present paper we have extended generalized Laplace transforms of Joshi to the space of m×m symmetric matrices using the confluent hypergeometric function of matrix argument defined by Herz as kernel.
R. M. Joshi, J. M. C. Joshi
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Extended Caputo k-type fractional derivative operator and its properties
Partial Differential Equations in Applied MathematicsIn this paper, we present some extensions of the k-hypergeometric functions and then develop the extended Caputo k-type fractional derivative operator by using two parameters k-Mittag–Leffler function.
Parik Laxmi +2 more
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Generalization of Bateman Polynomials
International Journal of Analysis and Applications, 2019 In this paper, generalize the Bateman polynomials in terms of generalized hypergeometric function of the type pFp. Establish different forms of extended polynomials such as series expansion, generating functions and recurrence relations.
Asad Ali +3 more
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On a Certain Extension of the Hurwitz-Lerch Zeta Function
Annals of the West University of Timisoara: Mathematics and Computer Science, 2014 Our purpose in this paper is to consider a generalized form of the extended Hurwitz-Lerch Zeta function. For this extended Hurwitz-Lerch Zeta function, we obtain some classical properties which includes various integral representations, a differential ...
Parmar Rakesh K., Raina R. K.
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Certain Extended Type Hypergeometric Functions of Two and Three Variables
The major objective of the present article is to study the new extension of hypergeometric functions of two and three variables by using the $2$ parameters Mittag-Leffler function.
Praveen Agarwal +3 more
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On The Extended Incomplete Pochhammer Symbols and Hypergeometric Functions
, 2017 In this paper, we first introduce certain forms of extended incomplete Pochhammer symbols which are then used to define families of extended incomplete generalized hypergeometric functions. For these functions, we investigate various properties including the integral representations, derivative formula, certain generating function and fractional ...
Parmar, Rakesh Kumar, Raina, R. K.
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Extended generalized Hypergeometric probability distributions
A new class of discrete distributions namely extended generalized hypergeometric probability distributions (EGHPD) is introduced as a generalization of generalized hypergeometric probability distributions, generalized Gegenbauer distributions and ...
Kumar, C. Satheesh
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