• Publications
  • Influence
Asymptotic formulas for generalized elliptic-type integrals
Abstract Epstein-Hubbell [1] elliptic-type integrals occur in radiation field problems. The object of the present paper is to consider a unified form of different elliptic-type integrals, defined andExpand
  • 24
  • 10
  • PDF
On fractional partial differential equations related to quantum mechanics
In this paper, we investigate the solutions of generalized fractional partial differential equations involving the Caputo time-fractional derivative and the Liouville space-fractional derivatives.Expand
  • 50
  • 1
On a unified mixture distribution
TLDR
A new mixture distribution associated with Fox-Wright generalized hypergeometric function has been studied, which generalizes many mixture distributions investigated earlier by many authors. Expand
  • 5
  • 1
A further generalization of mixture distributions
In this work, we consider new mixture distributions, which generalize some of mixture distributions established earlier. Some basic functions associated with the probability density function of theExpand
  • 2
  • 1
ON GENERALIZED WEYL FRACTIONAL q-INTEGRAL OPERATOR INVOLVING GENERALIZED BASIC HYPERGEOMETRIC FUNCTIONS
Fractional q-integral operators of generalized Weyl type, involving generalized basic hypergeometric functions and a basic analogue of Fox’s Hfunction have been investigated. A number of integralsExpand
  • 13
  • 1
  • PDF
Solution of Space-Time Fractional Schrödinger Equation Occurring in Quantum Mechanics
The object of this article is to present the computational solution of one- dimensional space-time fractional Schrodinger equation occurring in quan- tum mechanics. The method followed in derivingExpand
  • 23
  • PDF
Activity Characterization of Thin Samples Moving in Front of Disk-Shaped Isotropically Emitting Sources
The paper deals with the activity acquired by an element of target area moving parallel to a flat disk-shaped source isotropically emitting in nondispersive media. Some particular cases of motion areExpand
  • 7
Development of the Hubbell Rectangular Source Integral
AbstractThe integral $$\int_0^b {\frac{1}{{\sqrt {x^2 + 1} }}\tan ^{ - 1} } \left[ {\frac{a}{{\sqrt {x^2 + 1} }}} \right]{\text{d}}x$$ is the leading term in a series solution appearing in theExpand
  • 5
Unified probability density function involving a confluent hypergeometric function of two variables
TLDR
In this paper first we define a new gamma-type function by means of an integral involving the confluent hypergeometric function of two variables @F"1(a,b,c;w,z). Expand
  • 10
Further results on generalized hypergeometric functions
Recently, Virchenko et al. [Integral Transform. and Spec. Funct. 12 (1) (2001) 89-100] have defined and studied a generalized hypergeometric function of the form"2R"1^@t(a,b;c;@t;z)[emailExpand
  • 14
...
1
2
...