scholarly journals ON SOME DOUBLE INTEGRALS INVOLVING -FUNCTION OF TWO VARIABLES AND SPHEROIDAL FUNCTIONS

2013 ◽  
Vol 12 (1) ◽  
pp. 3158-3166
Author(s):  
Yashwant Singh ◽  
Laxmi Joshi
Keyword(s):  
Mathematical Analysis ◽  
Boundary Value ◽  
General Character ◽  
Function Of Two Variables ◽  
Integral Formulae ◽  
Double Integrals

The present paper evaluates certain double integrals involving -function of two variables [21] and Spherodial functions [23]. These double integrals are of most general character known so far and can be suitably specialized to yield a number of known or new integral formulae of much interest to mathematical analysis which are likely to prove quite useful to solve some typical boundary value problems. 

Double integral involving G-function of two variables

2020 ◽  
pp. 333-338
Author(s):  
Shukla Vinay Kumar
Keyword(s):  
Integral Equation ◽  
Population Density ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Research Paper ◽  
Statistical Distribution ◽  
Double Integral ◽  
Expansion Formulae ◽  
Function Of Two Variables ◽  
Double Integrals

In the study of certain boundary value problems integrals are useful with their connections. To obtain expansion formulae it also helps. In the study of integral equation, probability and statistical distribution, integrals are also used. To measure population density within a certain area, we can also use integrals. With integrals we can analyzed anything that changes in time. The object of this research paper is to establish a double integrals involving G-Function of two variables.

scholarly journals On the Generalized Weighted Integral Inequality for Double Integrals

2015 ◽  
Vol 61 (1) ◽  
pp. 169-179 ◽  
Author(s):  
Mehmet Zeki Sarikaya
Keyword(s):  
Integral Inequality ◽  
Independent Variables ◽  
Elementary Analysis ◽  
Weighted Integral ◽  
Function Of Two Variables ◽  
Two Independent Variables ◽  
Double Integrals

Abstract In this paper, we obtain weighted Montgomery’s identities for function of two variables and apply them to give new generalization weighted integral inequality for double integrals involving functions of two independent variables by using fairly elementary analysis.

scholarly journals On Some Double Integrals Involving H -Function of Two Variables and Spheroidal Functions

2014 ◽  
Vol 10 (4) ◽  
pp. 55-62
Author(s):  
Yashwant Singh ◽  
◽  
Harmendra Kumar Mandia
Keyword(s):  
Function Of Two Variables ◽  
Double Integrals

scholarly journals Unified integrals involving product of multivariable polynomials and generalized Bessel functions

2019 ◽  
Vol 38 (6) ◽  
pp. 73-83
Author(s):  
K. S. Nisar ◽  
D. L. Suthar ◽  
Sunil Dutt Purohit ◽  
Hafte Amsalu
Keyword(s):  
Bessel Function ◽  
Bessel Functions ◽  
General Character ◽  
Polynomial Functions ◽  
Finite Product ◽  
Generalized Bessel Function ◽  
Integral Formulas ◽  
Generalized Bessel Functions ◽  
Multivariable Polynomial ◽  
Integral Formulae

The aim of this paper is to evaluate two integral formulas involving a finite product of the generalized Bessel function of the first kind and multivariable polynomial functions which results are expressed in terms of the generalized Lauricella functions. The major results presented here are of general character and easily reducible to unique and well-known integral formulae.

scholarly journals Solution of a Boundary Value Problem Involving I-Function and Struve’s Function

2019 ◽  
Vol 8 (3) ◽  
pp. 411-415
Keyword(s):  
Steady State ◽  
Temperature Distribution ◽  
Boundary Value Problem ◽  
Rectangular Plate ◽  
General Class ◽  
Boundary Value ◽  
General Class Of Polynomials ◽  
Steady State Temperature ◽  
Function Of Two Variables

In the present paper, the authors established an integral involving I-function of two variables, Struve’s function with extended general class of polynomials. Also solved a boundary value problem in the steady state temperature distribution of a rectangular plate using I-function, Struve’s function and Extended general class of polynomials

scholarly journals XII. On the theory of probabilities

1862 ◽  
Vol 152 ◽  
pp. 225-252 ◽  
Keyword(s):  
General Theory ◽  
Mathematical Analysis ◽  
Royal Society ◽  
General Character ◽  
Algebraic Equations ◽  
Functional Determinant ◽  
Complete Development ◽  
A Value ◽  
Peculiar Form

This paper has for its object the investigation of the general analytical conditions of a Method for the solution of Questions in the Theory of Probabilities, which was proposed by me in a work entitled “An Investigation of the Laws of Thought” (London, Walton and Maberly, 1854). The application of this method to particular problems has been illustrated in the work referred to, and yet more fully in a ‘Memoir on the Combination of Testimonies and of Judgments’ published in the Transactions of the Royal Society of Edinburgh (vol. xxi. Part 4). Some observations, too, on the general character of the solutions to which the method leads, founded upon induction from particular cases, were contained in the original treatise, and the outlines, still in some measure conjectural, of their general theory were given in an Appendix to the Memoir. But the complete development of that theory was attended with analytical difficulties which I have only lately succeeded in overcoming. It involves discussions relating to the properties of a certain functional determinant, and to the possible solutions of a system of algebraic equations of peculiar form—discussions which will, I trust, be thought to possess a value, as contributions to Mathematical Analysis, independent of their present application.

scholarly journals On Double Integrals Involving Generalized H–Function of Two Variables

2017 ◽  
Vol 13 (01) ◽  
pp. 45-47
Author(s):  
Mehphooj Beg ◽  
Dr. S. S. Shrivastava
Keyword(s):  
Function Of Two Variables ◽  
Double Integrals
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