IJPAM: Volume 87, No. 5 (2013)
LÉVY-KHINCHIN TYPE FORMULA FOR
BASIC COMPLETELY MONOTONE FUNCTIONS
BASIC COMPLETELY MONOTONE FUNCTIONS
Hossam A. Ghany
Department of Mathematics
Faculty of Science
Taif University
Hawea, 888, Taif, KSA
Department of Mathematics
Faculty of Industrial Education
Helwan University
Cairo, EGYPT

Faculty of Science
Taif University
Hawea, 888, Taif, KSA

Faculty of Industrial Education
Helwan University
Cairo, EGYPT
Abstract. This paper is devoted to give the integral representations of basic completely monotone functions. The q-analogue of Laplace transform is introduced and some properties of the class of basic completely monotone functions are showed. Finally, many applied examples are given.
Received:
AMS Subject Classification: 30D15, 33D15, 42C15, 42A85, 20G42
Key Words and Phrases: completely monotone, q-difference operators, quantum calculus
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DOI: 10.12732/ijpam.v87i5.2 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 87
Issue: 5