scholarly journals Some Finite Integrals Involving Srivastava's Polynomials and the Aleph Function

2016 ◽  
Vol 56 (2) ◽  
pp. 465-471
Author(s):  
Alok Bhargava ◽  
Amber Srivastava ◽  
Rohit Mukherjee
Keyword(s):  
Srivastava’S Polynomials ◽  
Finite Integrals

scholarly journals Application of the Efros Theorem to the Function Represented by the Inverse Laplace Transform of s−μ exp(−sν)

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 354
Author(s):  
Alexander Apelblat ◽  
Francesco Mainardi
Keyword(s):  
Laplace Transform ◽  
Operational Calculus ◽  
Inverse Laplace Transform ◽  
Elementary Functions ◽  
Hyperbolic Functions ◽  
Error Functions ◽  
Convolution Integrals ◽  
Special Case ◽  
Integral Identities ◽  
Finite Integrals

Using a special case of the Efros theorem which was derived by Wlodarski, and operational calculus, it was possible to derive many infinite integrals, finite integrals and integral identities for the function represented by the inverse Laplace transform. The integral identities are mainly in terms of convolution integrals with the Mittag–Leffler and Volterra functions. The integrands of determined integrals include elementary functions (power, exponential, logarithmic, trigonometric and hyperbolic functions) and the error functions, the Mittag–Leffler functions and the Volterra functions. Some properties of the inverse Laplace transform of s−μexp(−sν) with μ≥0 and 0<ν<1 are presented.

scholarly journals Numerical multi-loop calculations via finite integrals and one-mass EW-QCD Drell-Yan master integrals

2017 ◽  
Vol 2017 (4) ◽  
Author(s):  
Andreas von Manteuffel ◽  
Robert M. Schabinger
Keyword(s):  
Finite Integrals

New Finite Integrals Involving Product of -function and Srivastava Polynomial

2012 ◽  
Vol 5 (4) ◽  
pp. 142-149
Author(s):  
Praveen Agarwal ◽  
Mehar Chand
Keyword(s):  
Finite Integrals

A theorem on algebraic correspondences

1936 ◽  
Vol 32 (3) ◽  
pp. 337-341
Author(s):  
W. V. D. Hodge
Keyword(s):  
Algebraic Curves ◽  
Present Note ◽  
Exact Formulation ◽  
Finite Integrals

In his chapter on correspondences between algebraic curves Prof. Baker has raised a problem concerning the possibility, when we are given the equations of Hurwitz for a correspondence between two algebraic curves, of obtaining therefrom a reduction of the everywhere finite integrals on either curve into complementary regular defective systems of integrals. The problem is stated as an unproved theorem, an exact formulation of which is given below. The object of the present note is to give a proof of this theorem on the lines of Prof. Baker's chapter.

Evaluation of certain finite integrals

2016 ◽  
Vol 35 (1) ◽  
pp. 64-76
Author(s):  
F.Y Ayant
Keyword(s):  
Finite Integrals

scholarly journals On The Distribution Of Mixed Sum Of Independent Random Variables One Of Them Associated With Srivastava's Polynomials And H -Function

2014 ◽  
Vol 10 (1) ◽  
pp. 53-62 ◽  
Author(s):  
Jagdev Singh ◽  
Devendra Kumar
Keyword(s):  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Random Variables ◽  
Probability Density Functions ◽  
Independent Random Variables ◽  
Special Cases ◽  
The Laplace Transform ◽  
Srivastava’S Polynomials ◽  
Infinite Range

Abstract In this paper, we obtain the distribution of mixed sum of two independent random variables with different probability density functions. One with probability density function defined in finite range and the other with probability density function defined in infinite range and associated with product of Srivastava's polynomials and H-function. We use the Laplace transform and its inverse to obtain our main result. The result obtained here is quite general in nature and is capable of yielding a large number of corresponding new and known results merely by specializing the parameters involved therein. To illustrate, some special cases of our main result are also given.

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