ON OPERATOR DEFINED BY DOUBLE ZETA FUNCTIONS

被引：3

作者：

Ibrahim, Rabha W. ^{[1
]}

Darus, Maslina ^{[1
]}

机构：

[1] Univ Kebangsaan Malaysia, Sch Math Sci, Fac Sci & Technol, Bangi 43600, Selangor Darul, Malaysia

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2011年 / 42卷 / 02期

关键词：

Hurwitz-Lerch Zeta function; analytic function; hypergeometric functions;

D O I：

10.5556/j.tkjm.42.2011.163-174

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to introduce an operator defined by generalized double zeta function involving the Riemann, Hurwitz, Hurwitz-Lerch and Barnes double zeta functions for analytic functions in the unit disc. Certain new subclasses of A using this operator are suggested. Some interesting properties of these classes are studied.

引用

页码：163 / 174

页数：12

共 19 条

[1] Aleksandar I, 1985, RIEMANN ZETA FUNCTIO
[2] The theory of the double gamma function
Barnes, EW
[J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL OR PHYSICAL CHARACTER, 1901, 196 : 265 - 387
[3] Bin-Saad MG, 2009, ACTA MATH UNIV COMEN, V78, P269
[4] STARLIKE AND PRESTARLIKE HYPERGEOMETRIC-FUNCTIONS
CARLSON, BC
SHAFFER, DB
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1984, 15 (04) : 737 - 745
[5] Certain families of series associated with the Hurwitz-Lerch Zeta function
Choi, JS
Srivastava, HM
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 170 (01) : 399 - 409
[6] Darus M., 2010, ACTA U SAPIENTIAE MA, V2, P184
[7] Darus M., 2010, FAR E J MATH SCI, V40, P93
[8] Duren P. L, 1983, GRADUATE TEXTS MATH, V259
[9] ELIZALDE E, 1995, 10 PHYS APPL SPECTRA
[10] Erdelyi A., 1953, HIGHER TRANSCENDENTA

← 1 2 →