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CERTAIN INTEGRALS INVOLVING THE PRODUCT OF GAUSSIAN HYPERGEOMETRIC FUNCTION AND ALEPH FUNCTION
Suthar, D.L.,Agarwal, S.,Kumar, Dinesh The Honam Mathematical Society 2019 호남수학학술지 Vol.41 No.1
The aim of this paper is to establish certain integrals involving product of the Aleph function with exponential function and multi Gauss's hypergeometric function. Being unified and general in nature, these integrals yield a number of known and new results as special cases. For the sake of illustration, twelve corollaries are also recorded here as special case of our main results.
CERTAIN k-FRACTIONAL CALCULUS OPERATORS AND IMAGE FORMULAS OF GENERALIZED k-BESSEL FUNCTION
( P. Agarwal ),( D. L. Suthar ),( Hagos Tadesse ),( Haile Habenom ) 호남수학회 2021 호남수학학술지 Vol.43 No.2
In this paper, the Saigo’s k-fractional integral and derivative operators involving k-hypergeometric function in the kernel are applied to the generalized k-Bessel function; results are expressed in term of k- Wright function, which are used to present image formulas of integral transforms including beta transform. Also special cases related to fractional calculus operators and Bessel functions are considered.
Certain Integrals involving the product of Gaussian hypergeometric function and Aleph function
Dinesh Kumar,D.L. SUTHAR,S. Agarwal 호남수학회 2019 호남수학학술지 Vol.41 No.1
The aim of this paper is to establish certain integrals involving product of the Aleph function with exponential function and multi Gauss's hypergeometric function. Being unified and general in nature, these integrals yield a number of known and new results as special cases. For the sake of illustration, twelve corollaries are also recorded here as special case of our main results.
SOME UNIFIED INTEGRALS ASSOCIATED WITH THE GENERALIZED STRUVE FUNCTION
K.S. NISAR,D.L. SUTHAR,S.D. Purohit,M. ALDHALFALLAH 장전수학회 2017 Proceedings of the Jangjeon mathematical society Vol.20 No.2
This paper is devoted for the study of a new generalization of Struve type function. In this paper, we establish four new integral formulas involving the Galue type Struve function, which are express in term of the generalized (Wright) hypergeometric functions. The result established here are general in nature and are likely to nd useful in applied problem of sciences, engineering and technology.