Analytic Solution of Integral Equation Involving Spheroidal Wave Functions of Three Variables.

New Classes of Analytic Functions Involving Generalized Noor Integral Operator

A Solution of Generalized Fractional Volterra Type Integral Equation Involving

Department of Mathematics, NRI Institute of Technology and Management, Gwalior-474001, India Address: B-3, Krishna Puri, Taraganj, Lashkar, Gwalior (M.P.)-474001, India E-mail: [email protected], [email protected] School of Mathematics and Allied Sciences, Jiwaji University, Gwalior (M.P.)-474011, India E-mail: [email protected] Research Scholar, Suresh Gyan Vihar ...

Solution of Some Integral Equations Involving Confluent k-Hypergeometric Functions

The principle aim of this research article is to investigate the properties of k-fractional integration introduced and defined by Mubeen and Habibullah [1], and secondly to solve the integral equation of the form             1 1 0 , ; d , ; k x k k x t g x F t x f t k                t t 0, 0, 0,0 k x , for          , where     1 1 , ; , ; k F x k     ...

Analytic value of the atomic three-electron correlation integral with Slater wave functions.

while in Eq. ~42! of Ref. @1#, line 8 should be (w12w2 1w3) instead of (w12w21w3) . With these two changes, both equations are now invariant under interchange of the nonlinear parameters w1 and w3 , as is required by the symmetry of the electron interaction operator. Harris @2# has shown that the formulas of Remiddi are equivalent to the older, more general formulas of Fromm and Hill @3# in the...

Solution of the Wave Equation by Separation of Variables

We are going to solve this problem in three steps. Step 1 In the first step, we find all solutions of (1) that are of the special form u(x, t) = X(x)T (t) for some function X(x) that depends on x but not t and some function T (t) that depends on t but not x. This is where the name “separation of variables” comes from. It is of course too much to expect that all solutions of (1) are of this form...