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GENERALIZED FRACTIONAL DIFFERINTEGRAL OPERATORS OF THE K-SERIES
Gupta, Rajeev Kumar,Shaktawat, Bhupender Singh,Kumar, Dinesh The Honam Mathematical Society 2017 호남수학학술지 Vol.39 No.1
In the present paper, we further study the generalized fractional differintegral (integral and differential) operators involving Appell's function $F_3$ introduced by Saigo-Maeda [9], and are applied to the K-Series defined by Gehlot and Ram [3]. On account of the general nature of our main results, a large number of results obtained earlier by several authors such as Ram et al. [7], Saxena et al. [14], Saxena and Saigo [15] and many more follow as special cases.
GENERALIZED FRACTIONAL DIFFERINTEGRAL OPERATORS OF THE K-SERIES
( Rajeev Kumar Gupta ),( Bhupender Singh Shaktawat ),( Dinesh Kumar ) 호남수학회 2017 호남수학학술지 Vol.39 No.1
In the present paper, we further study the generalized fractional differintegral (integral and differential) operators involving Appell`s function F3 introduced by Saigo-Maeda [9], and are applied to the K-Series defined by Gehlot and Ram [3]. On account of the general nature of our main results, a large number of results obtained earlier by several authors such as Ram et al. [7], Saxena et al. [14], Saxena and Saigo [15] and many more follow as special cases.
Certain results on extended generalized $\tau$-Gauss Hypergeometric function
Dinesh Kumar,Rajeev Kumar Gupta,Bhupender Singh Shaktawat 호남수학회 2016 호남수학학술지 Vol.38 No.4
The main aim of this paper is to introduce an extension of the generalized $\tau$-Gauss hypergeometric function $_rF_s^{\tau}(z)$ and investigate various properties of the new function such as integral representations, derivative formulas, Laplace transform, Mellin transform and fractional calculus operators. Some of the interesting special cases of our main results have been discussed.
CERTAIN RESULTS ON EXTENDED GENERALIZED τ-GAUSS HYPERGEOMETRIC FUNCTION
Kumar, Dinesh,Gupta, Rajeev Kumar,Shaktawat, Bhupender Singh The Honam Mathematical Society 2016 호남수학학술지 Vol.38 No.4
The main aim of this paper is to introduce an extension of the generalized ${\tau}$-Gauss hypergeometric function $_rF^{\tau}_s(z)$ and investigate various properties of the new function such as integral representations, derivative formulas, Laplace transform, Mellin trans-form and fractional calculus operators. Some of the interesting special cases of our main results have been discussed.
CERTAIN RESULTS ON EXTENDED GENERALIZED T-GAUSS HYPERGEOMETRIC FUNCTION
( Dinesh Kumar ),( Rajeev Kumar Gupta ),( Bhupender Singh Shaktawat ) 호남수학회 2016 호남수학학술지 Vol.38 No.4
The main aim of this paper is to introduce an extension of the generalized ¿-Gauss hypergeometric function and in- vestigate various properties of the new function such as integral rep- resentations, derivative formulas, Laplace transform, Mellin trans- form and fractional calculus operators. Some of the interesting special cases of our main results have been discussed.