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Category: Issue 2

Certain simultaneous five tuple series equations involving laguerre polynomials

P.K. MATHUR1 and ANJANA SINGH2
1Department of Mathematics,Saifia Science College, Bhopal, M.P. (INDIA)
2Department of Mathematics, Rajeev Gandhi Engineering College, Salaiya, Kolar, Bhopal, M.P. (INDIA)

ABSTRACT:

Lowndes4,3 have obtained the solution of some dual series equations involving laguerre polynoimials and then solved triple series equations involving laguerre polynomials. Singh, Rokne and Dhaliwal9 obtained closed form solution of triple series equations involving Laguerre polynomials and Srivastava10 have also obtained the solutions of certain dual series equations involving Laguerre polynomials. In the present paper, an exact solution has been obtained for the simultaneous five tuple series equations involving Laguerre polynomials by Noble’s8 modified multiplying factor technique.

KEYWORDS: 45F 10 Five tuple Series Equations, 33C45 Laguerre polynomials, 33D45 Basic Orthogonal Polynomials and Functions, 42C05 Orthogonal Functions and Polynomials, General Theory, 26A33 Fractional Derivatives and Integrals, 33B15 Beta Function, 34BXX Boundary Value Problem.


Lowndes4,3 have obtained the solution of some dual series equations involving laguerre polynoimials and then solved triple series equations involving laguerre polynomials. Singh, Rokne and Dhaliwal9 obtained closed form solution of triple...

Decomposition of curvature tensor field in a Tachibana recurrent space K. S. RAWAT1 and NITIN UNIYAL2

K. S. RAWAT1 and NITIN UNIYAL2
Department of Mathematics H.N.B. Garhwal University Campus Badshahi Thaul , Tehri (Garhwal)-249199 Uttarakhand (INDIA)
Email: drksrawathnbgu@rediffmail.com nitinuniyalddn@gmail.com

ABSTRACT:

Takano6 have studied decomposition of curvature tensor in a recurrent space. Sinha and Singh5 have been studied on decomposition of recurrent curvature tensor fields in a Finsler space. Further, Negi and Rawat4 have studied decomposition of recurrent curvature tensor field in a Kaehlerian space. In the present paper, we have studied the decomposition of curvature tensor field Rhi jk in terms of two vectors and a tensor field. Also several theorems have been investigated and proved.

KEYWORDS: Curvature tensor, Tachibana space, Recurrent space.


Takano6 have studied decomposition of curvature tensor in a recurrent space. Sinha and Singh5 have been studied on decomposition of recurrent curvature tensor fields in a Finsler space. Further, Negi and Rawat4 have studied decomposition...