Generating Certain Class of Real Sequences Using Gamma Function, Arithmetic and Geometric Progressions

Vishwa Nath Maurya^1, , Ram Bilas Misra², Chandra K. Jaggi³, Avadhesh Kumar Maurya⁴ and Rajnesh Krishnan Mudaliar⁵

¹Professor & Head, Department of Pure & Applied Mathematics and Statistics, School of Science & Technology, The University of Fiji, Fiji Islands

²Professor of Applied Mathematics, State University of New York, Korea Ex Vice-Chancellor, Dr. Ram Manohar Lohia Avadh University, Faizabad, UP, India

³Professor & Head, Department of Operations Research, University of Delhi, New Delhi, India

⁴Assistant Professor & Head, Department of Electronics & Communication Engineering, Lucknow Institute of Technology, Gautam Buddha Technical University, Lucknow, U.P., India

⁵Lecturer, Department of Mathematics & Statistics, Fiji National University, Lautoka, Fiji Islands

Cite this paper

Vishwa Nath Maurya, Ram Bilas Misra, Chandra K. Jaggi, Avadhesh Kumar Maurya and Rajnesh Krishnan Mudaliar. Generating Certain Class of Real Sequences Using Gamma Function, Arithmetic and Geometric Progressions. American Journal of Applied Mathematics and Statistics. 2014; 2(6A):1-5. doi: 10.12691/AJAMS-2-6A-1

Abstract

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.

Keywords

real sequence, n^th term, complex number, gamma function, arithmetic progression, geometric progression

Copyright

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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