On Simpson's formula of cubature
Certain properties of Varma transform involving Whittaker functions.
Some Interpolatory Polynomials On Tchebycheff Abcissas - I
On a generalization of Simpson's formula
Some formulae for the G-function-II.
Degree Of Convergence Of Quasi-Hermite-Fejér Interpolation
On certain multidimensional generalized Kober operators.
In this paper, we introduce certain multidimensional generalized Kober operators associated with the Gauss's hypergeometric function, which provide an elegant multivariate analogue of the operators introduced by Saxena and Kumbhat.
Solution of Space-Time Fractional Schrödinger Equation Occurring in Quantum Mechanics
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...
Certain Properties of Fractional Calculus Operators Associated with Generalized Mittag-Leffler Function
Mathematics Subject Classification: 26A33, 33E12, 33C20. It has been shown that the fractional integration and differentiation operators transform such functions with power multipliers into the functions of the same form. Some of the results given earlier by Kilbas and Saigo follow as special cases.
Krätzel Function as a Function of Hypergeometric Type
2000 Mathematics Subject Classification: 33C60, 33C20, 44A15 The paper is devoted to the study of the function Zνρ(x) defined for positive x > 0, real ρ ∈ R and complex ν ∈ C, being such that Re(ν) < 0 for ρ ≤ 0, [...] Such a function was earlier investigated for ρ > 0. Using the Mellin transform of Zνρ(x), we establish its representations in terms of the H-function and extend this function from positive x > 0 to complex z. The results obtained, being different for ρ >...
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