Papers

Journal of Ultra Scientist of Physical Sciences - A
Voulume: 24
Issue: 3
Article No. 21
On |N,pn; |k Summability of orthogonal series
SATISH CHANDRA1 and MONIKA VARSHNEY2

1Department of Mathematics SM PG College Chandausi India

2Department of Computer Science The LNM Institute of Information TechnologyJaipur India

Email:-varsmonika92@gmail.com

Abstract :

In this paper we have proved a theorem on |N,pn; |k summability
of orthogonal series, which generalizes various known results.
However, our theorem is as follows:-
Theorem : Let 1  k  2, and 0k<1. If {pn} be a positive nonincreasing
sequence such thatthe orthogonal series  nan n (x) is summable |N,pn;|k almost
everywhere1-4.

Keyword : |N,pn; |k summability, orthogonal series. 2000 Mathematics subject classification : 40D05, 40E05, 40F05, 40G05, 42C05 and 42C10.
DOI :
Paper Download Count : 531
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Article No. 22
Simultaneous triple integral equations involving fox's H-functions
P.K. MATHUR1 and ANJANA SINGH2

1Department of Mathematics saifia Science College Bhoapl India

2Department of mathematicsRajeev Gandhi Engineering College Salaiya Kolar Bhoapl India

Abstract :

The formal solution of certain simultaneous triple integral equations involving Fox’s H-functions is obtained by the method of fractional integration. By the application of fractional integration operators, the given simultaneous triple integral equations are transformed into three others with a common kernel and the problem then reduced to that of solving one integral equation.

Keyword : 45-XX Integral Equations, 45F10 Simultaneous Triple Integral Equations, 33C60 Fox’ H function, 45 H05 (Special kernels) unsymmetrical Fourier kernel, 33C XX Hypergeometric Function, 44A15 Special Transforms (Mellin), 26A33 Fractional derivatives and Integrals, 44A20 Transforms of special functions, 45E99 Suitable contour Barnes type.
DOI :
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Article No. 23
Construction of symmetric weighing matrix of weight 4
NARENDRA PRASAD1 and DIPSHKHA BHATTACHARYA2

1,2Department of Mathematics Ramgarh College Jharkhand India

Abstract :

The aim of this paper is to construct the symmetric weighing matrix W of weight 4 with the help of (0,1,-1) matrix M satisfying M2 = 4M.

Keyword : symmetric weighing matrix
DOI :
Paper Download Count : 541
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