eng
Science and Education Publishing
American Journal of Applied Mathematics and Statistics
2333-4576
2014-11-21
2
6A
1
5
10.12691/ajams-2-6A-1
AJAMS201426A1
article
Generating Certain Class of Real Sequences Using Gamma Function, Arithmetic and Geometric Progressions
Vishwa Nath Maurya
prof.drvnmaurya@gmail.com
1
Ram Bilas Misra
2
Chandra K. Jaggi
3
Avadhesh Kumar Maurya
4
Rajnesh Krishnan Mudaliar
5
Professor & Head, Department of Pure & Applied Mathematics and Statistics, School of Science & Technology, The University of Fiji, Fiji Islands
Professor of Applied Mathematics, State University of New York, Korea Ex Vice-Chancellor, Dr. Ram Manohar Lohia Avadh University, Faizabad, UP, India
Professor & Head, Department of Operations Research, University of Delhi, New Delhi, India
Assistant Professor & Head, Department of Electronics & Communication Engineering, Lucknow Institute of Technology, Gautam Buddha Technical University, Lucknow, U.P., India
Lecturer, Department of Mathematics & Statistics, Fiji National University, Lautoka, Fiji Islands
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.
http://pubs.sciepub.com/ajams/2/6A/1/ajams-2-6A-1.pdf
real sequence
n^{th} term
complex number
gamma function
arithmetic progression
geometric progression