Sains Malaysiana 41(12)(2012): 1657–1661

 

An Operator Defined by Convolution Involving the

Generalised Hurwitz-Lerch Zeta Function

(Pengoperasi yang Ditakrif oleh Konvolusi MelibatkanPengitlakan Fungsi Hurwitz-Lerch Zeta)

 

 

Aabed Mohammed & Maslina Darus*

School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor D. Ehsan, Malaysia

 

Diserahkan: 18 Mei 2012 / Diterima: 14 Ogos 2012

 

ABSTRACT

In this article, we studied the generalised Hurwitz-Lerch zeta function. We defined a new operator and introduced a new class of function. Here, some interesting properties and sufficient conditions for subordination were also studied.

 

Keywords: Hadamard product; Hurwitz-Lerch zeta function; integral operator

 

ABSTRAK

Dalam kertas kerja ini, fungsi teritlak Hurwitz–Lerch zeta dikaji. Pengoperasi baharu dan kelas fungsi baharu diperkenalkan. Di sini beberapa sifat dan syarat cukup untuk subordinasi juga dikaji.

 

Kata kunci: Fungsi Hurwitz-LCerch zeta; hasil darab Hadamard; pengoperasi kamiran

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*Pengarang surat-menyurat; e-mail: maslina@ukm.my