Science and Education Publishing
American Journal of Applied Mathematics and Statistics
2333-4576
2
6A
2014
11
21
Generating Certain Class of Real Sequences Using Gamma Function, Arithmetic and Geometric Progressions
1
5
EN
Vishwa Nath
Maurya
Professor & Head, Department of Pure & Applied Mathematics and Statistics, School of Science & Technology, The University of Fiji, Fiji Islands
Ram Bilas
Misra
Chandra K.
Jaggi
Avadhesh Kumar
Maurya
Rajnesh Krishnan
Mudaliar
AJAMS201426A1
10.12691/ajams-2-6A-1
2014
11
01
2014
11
10
2014
11
21
Present paper envisages a novel approach to explore some real sequences by using the gamma function, arithmetic progression (AP) and geometric progression (GP). Particularly, applications of properties of both the arithmetic progression (AP) and geometric progression (GP) are focused to find out some real sequences which can be significantly useful in emerging fields of engineering science and technology. Real sequences play vital role in testing of convergence of infinite power series in real analysis and engineering mathematics. In this paper, several propositions pertaining to real sequences are explored and examined by way of presenting proofs. In addition to this, various numerical examples are also illustrated in order to emphasis the application aspect of real sequences explored herein. Finally, some significant conclusions are drawn for future scope and further findings with different versions of real sequences.