ON GENERALIZED $(N,p_n,q_n)$ SUMMABILITY OF JACOBI AND LAGUERRE SERIES

Main Article Content

RAJIV SINHA
DHIRENDRA SINGH

Abstract




In this paper we generalize two theorems of Szego [7] for Jacobi and Laguerre series by $G(N , p, q)$ summability method.




Article Details

How to Cite
SINHA, R., & SINGH, D. (1993). ON GENERALIZED $(N,p_n,q_n)$ SUMMABILITY OF JACOBI AND LAGUERRE SERIES. Tamkang Journal of Mathematics, 24(4), 373–381. https://doi.org/10.5556/j.tkjm.24.1993.4509
Section
Papers

References

D. Borwein, "On product of sequences", J. London Math. Soc., 33 (1958), 212-220.

N. B. Dhal, "The generalized (N,p,q) summability", Sambalpur University Journal, Vol. IV Dec. 1971.

G. H. Hardy, "Divergent series", (1949).

J. K. Karamata, "Remarque relative d, la summation des Fourier parle procede de Nor­lund", Publ. Sci. del' Universite d'Alger, Ser A. 1 (1954), 7-14.

R. Sinha and S. Chandra, "On (N ,p , q) summability of Jacobi and Laguerre series", Tamkang Journal of Math., Vol. 16 No. 1 {1985).

R. Sinha and P. Kumar, "On generalized (N,Pn, qn) summability", Tamkang Journal of Math. Vol. 11, No. 2, (1980).

G. Szego, "Orthogonal Polynomials", New York (1939).

B. Thorpe, "Norlund summability of Jacobi and Laguerre series", Journal Furdie rein and angewandte Mathematik J. RMAA 8, Bank 276, (1975), 137-141.