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This paper is devoted for the study of a new generalization of Struve function type. In this paper , We establish four new integral formulas involving the Galue type Struve function, which are express in term of the generalized (Wright)…

Classical Analysis and ODEs · Mathematics 2016-08-11 D. L. Suthar , S. D. Purohit , K. S. Nisar

The close form of some integrals involving recently developed generalized k-Struve functions is obtained. The outcome of these integrations is expressed in terms of generalized Wright functions. Several special cases are deduced which lead…

Classical Analysis and ODEs · Mathematics 2016-12-28 K. S. Nisar , S. R. Mondal

Our purpose in this present paper is to investigate generalized integration formulas containing the generalized $k$-Bessel function $W_{v,c}^{k}(z)$ to obtain the results in representation of Wright-type function. Also, we establish certain…

Classical Analysis and ODEs · Mathematics 2016-12-26 G. Rahman , K. S. Nisar , S. Mubeen , M. Arshad

Generalized product formulas and index transforms, involving products of Whittaker's functions of different indices are established and investigated. The corresponding inversion formulas are found. Particular cases cover index transforms…

Classical Analysis and ODEs · Mathematics 2025-06-09 Semyon Yakubovich

Generalized integral formulas involving the generalized modified k-Bessel function $J_{k,\nu }^{c,\gamma ,\lambda }\left( z\right) $ of first kind are expressed in terms generalized $k-$Wright functions. Some interesting special cases of…

Classical Analysis and ODEs · Mathematics 2016-01-26 K. S. Nisar , S. R. Mondal

In this paper, we discuss the generalized integral formula involving Bessel-Struve kernel function $S_{\alpha }\left( \lambda z\right) $, which expressed in terms of generalized Wright functions. Many interesting special cases also obtained…

Classical Analysis and ODEs · Mathematics 2016-02-05 K. S. Nisar , P. Agarwal , S. Jain

This paper refers to the study of generalized Struve type function. Using generalized Galue type Struve function (GTSF) by Nisar et al. [13], we derive various integral transform, including Euler transform, Laplace transform, Whittakar…

Classical Analysis and ODEs · Mathematics 2016-07-19 D. L. Suthar , S. D. Purohit , K. S. Nisar

The aim of this paper is to apply generalized operators of fractional integration and differentiation involving Appells function due to Marichev-Saigo-Maeda, to the generalized Struve function. The results are expressed in terms of…

Classical Analysis and ODEs · Mathematics 2016-10-04 K. S. Nisar

A generalised Struve function has recently been introduced by Ali, Mondal and Nisar [J. Korean Math. Soc. {\bf 54} (2017) 575--598] as \[(\frac{1}{2} z)^{\nu+1}\sum_{n=0}^\infty\frac{(\frac{1}{2} z)^{2n}}{\Gamma(n+\frac{3}{2})…

Classical Analysis and ODEs · Mathematics 2017-11-30 R B Paris

In the present paper we derive a unified new integral whose integrand contains products of Fox $H$-function and a general class of polynomials having general arguments. A large number of integrals involving various simpler functions follow…

Classical Analysis and ODEs · Mathematics 2007-05-23 Mridula Garg , Shweta Mittal

The aim of this paper is to define a new operator by using the generalized Struve functions. By using this operator we define a subclass of analytic functions. We discuss some properties of this class such as inclusion problems, radius…

Complex Variables · Mathematics 2015-02-18 Mohsan Raza , Nihat Yağmur

In this manuscript, the authors derive closed formula for definite integrals of combinations of powers and logarithmic functions of complicated arguments and express these integrals in terms of the Hurwitz zeta. These derivations are then…

General Mathematics · Mathematics 2021-04-30 Robert Reynolds , Allan Stauffer

Several new formulas are developed that enable the evaluation of a family of definite integrals containing the product of two Whittaker W-functions. The integration is performed with respect to the second index, and the first index is…

Mathematical Physics · Physics 2015-06-26 Peter A. Becker

We evaluate definite integrals involving the product of four modified Bessel functions of the first and second kind and a power function. We provide general formulas expressed in terms of the Meijer $G$-function and generalized…

Classical Analysis and ODEs · Mathematics 2026-01-21 Robert E. Gaunt

In this paper, we find the recursion formulas for generalized Lauricella matrix function. We also give the recursion formulas for the three variable Lauricella matrix functions.

Classical Analysis and ODEs · Mathematics 2021-05-18 Ashish Verma , Ravi Dwivedi , Vivek Sahai

Our purpose in this present paper is to investigate generalized integration formulas containing the extended generalized hypergeometric function and obtained results are expressed in terms of extended hypergeometric function. Certain…

Classical Analysis and ODEs · Mathematics 2017-06-08 G. Rahman , A. Ghaffar , K. S. Nisar , S. Mubeen

By employing contour integration the derivation of a generalized double finite series involving the Hurwitz-Lerch zeta function is used to derive closed form formulae in terms of special functions. We use this procedure to find special…

Number Theory · Mathematics 2023-09-08 Robert Reynolds

In this paper we study generalized J-inner matrix valued functions which appear as resolvent matrices in various indefinite interpolation problems. Reproducing kernel indefinite inner product spaces associated with a generalized J-inner…

Functional Analysis · Mathematics 2009-10-21 Vladimir Derkach , Harry Dym

This paper deals with generalized elliptic integrals and generalized modular functions. Several new inequalities are given for these and related functions.

Classical Analysis and ODEs · Mathematics 2011-09-01 B. A. Bhayo , M. Vuorinen

Expanding upon recent work, a new class of $A$-functions is introduced that can be viewed as an appropriate generalization of the class of regular $A$-functions, the class of structured $A$-functions, and the class of perfect $A$-functions.…

Number Theory · Mathematics 2022-03-01 Joseph Burnett , Alex Taylor
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