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Information Journal Paper

Title

QUOTIENT MEAN SERIES

Author(s)

 BAN B.D. | Issue Writer Certificate 

Pages

  87-99

Abstract

 The well–known MATHIEU SERIESSM(r) =S¥n=1 2n/(n2+r2)2  (r>0)can be transformed into the formSM(r) =1/2r S¥n=1 Önr2/(Ön2+r2/2)4=1/2r S¥n=1 g2(n,r)/Q4 (n,r)where G(n, r) and Q(n, r) denote the Geometric and Quadratic MEAN of n Î N and r > 0. This connection leads us to the idea to introduce and research the so–called MEAN SERIES/fa?page=1&sort=1&ftyp=all&fgrp=all&fyrs=all" target="_blank"> QUOTIENT MEAN SERIES as a be a generalizations of Mathieu’s and Mathieu–type series. We give an integral representation of such series and their alternating variant, together with associated inequalities. Also, special cases of MEAN SERIES/fa?page=1&sort=1&ftyp=all&fgrp=all&fyrs=all" target="_blank"> QUOTIENT MEAN SERIES, involving BESSEL FUNCTION OF THE FIRST KIND, have been studied in detail.

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    • Cite

    APA: Copy

    BAN, B.D.. (2010). QUOTIENT MEAN SERIES. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 4(2), 87-99. SID. https://sid.ir/paper/316922/en

    Vancouver: Copy

    BAN B.D.. QUOTIENT MEAN SERIES. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2010;4(2):87-99. Available from: https://sid.ir/paper/316922/en

    IEEE: Copy

    B.D. BAN, “QUOTIENT MEAN SERIES,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 4, no. 2, pp. 87–99, 2010, [Online]. Available: https://sid.ir/paper/316922/en

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