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A Class of Extended Fractional Derivative Operators and Associated Generating Relations Involving Hypergeometric Functions
TLDR
We apply the generalized extended fractional derivative operator to derive linear and bilinear generating relations for Gauss, Appell and Lauricella hypergeometric functions in one, two and more variables. Expand
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On a Certain Extension of the Hurwitz-Lerch Zeta Function
Abstract 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 propertiesExpand
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Some Families of the Incomplete H-Functions and the Incomplete $$\overline H $$H¯-Functions and Associated Integral Transforms and Operators of Fractional Calculus with Applications
Our present investigation is inspired by the recent interesting extensions (by Srivastava et al. [35]) of a pair of the Mellin–Barnes type contour integral representations of their incompleteExpand
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A new generalization of gamma, beta hypergeometric and confluent hypergeometric functions
The main object of this paper is to present new generalizations of gamma, beta hypergeometric  and confluent hypergeometric functions. Some recurrence relations, transformation formulas, operationExpand
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EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
Recently several authors have extended the Gamma function, Beta function, the hypergeometric function, and the con- uent hypergeometric function by using their integral representa- tions and providedExpand
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On an extension of extended Beta and hypergeometric functions
Motivated mainly by certain interesting recent extensions of the Gamma, Beta and hypergeometric functions, we introduce here new extensions of the Beta function, hypergeometric and confluentExpand
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Extended τ-hypergeometric functions and associated properties
Abstract Recently, an extension of the Pochhammer symbol was used in order to introduce and investigate a family of generalized hypergeometric functions [Srivastava et al. (2014) [11] ]. The mainExpand
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An Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables
The main object of this paper is to introduce a new extension of the generalized Hurwitz-Lerch Zeta functions of two variables. We then systematically investigate such its several interestingExpand
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On $p$--extended Mathieu series
Motivated by several generalizations of the well--known Mathieu series, the main object of this paper is to introduce new extension of generalized Mathieu series and to derive various integralExpand
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Further Generalization of the Extended Hurwitz-Lerch Zeta Functions
Recently various extensions of Hurwitz-Lerch Zeta functions have been investigated. Here, we first introduce a further generalization of the extended Hurwitz-Lerch Zeta functions. Then we investigateExpand
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