Currently displaying 1 – 9 of 9

Showing per page

Order by Relevance | Title | Year of publication

On q-Laplace Transforms of the q-Bessel Functions

Purohit, S.Kalla, S. — 2007

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: 33D15, 44A10, 44A20 The present paper deals with the evaluation of the q-Laplace transforms of a product of basic analogues of the Bessel functions. As applications, several useful special cases have been deduced.

On the Riemann-Liouville Fractional q-Integral Operator Involving a Basic Analogue of Fox H-Function

Kalla, S.Yadav, R.Purohit, S. — 2005

Fractional Calculus and Applied Analysis

2000 Mathematics Subject Classification: 33D60, 26A33, 33C60 The present paper envisages the applications of Riemann-Liouville fractional q-integral operator to a basic analogue of Fox H-function. Results involving the basic hypergeometric functions like Gq(.), Jv(x; q), Yv(x; q),Kv(x; q), Hv(x; q) and various other q-elementary functions associated with the Riemann-Liouville fractional q-integral operator have been deduced as special cases of the main result.

Solution of Space-Time Fractional Schrödinger Equation Occurring in Quantum Mechanics

Saxena, R.Saxena, RaviKalla, S. — 2010

Fractional Calculus and Applied Analysis

Dedicated to Professor A.M. Mathai on the occasion of his 75-th birthday. Mathematics Subject Classi¯cation 2010: 26A33, 44A10, 33C60, 35J10. The object of this article is to present the computational solution of one-dimensional space-time fractional Schrödinger equation occurring in quantum mechanics. The method followed in deriving the solution is that of joint Laplace and Fourier transforms. The solution is derived in a closed and computational form in terms of the H-function. It...

On Generalized Weyl Fractional q-Integral Operator Involving Generalized Basic Hypergeometric Functions

Yadav, R.Purohit, S.Kalla, S. — 2008

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: 33D60, 33D90, 26A33 Fractional q-integral operators of generalized Weyl type, involving generalized basic hypergeometric functions and a basic analogue of Fox’s H-function have been investigated. A number of integrals involving various q-functions have been evaluated as applications of the main results.

On a Class of Generalized Elliptic-type Integrals

Garg, MridulaKatta, VimalKalla, S. — 2001

Serdica Mathematical Journal

The aim of this paper is to study a generalized form of elliptic-type integrals which unify and extend various families of elliptic-type integrals studied recently by several authors. In a recent communication [1] we have obtained recurrence relations and asymptotic formula for this generalized elliptic-type integral. Here we shall obtain some more results which are single and multiple integral formulae, differentiation formula, fractional integral and approximations for this class of generalized...

Page 1

Download Results (CSV)