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Dawikins and Paul, Series and Sequences, Paul's Online Math Notes/Calc II (notes).

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Article

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

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


American Journal of Applied Mathematics and Statistics. 2014, Vol. 2 No. 6A, 1-5
DOI: 10.12691/ajams-2-6A-1
Copyright © 2014 Science and Education Publishing

Cite this paper:
Vishwa Nath Maurya, Ram Bilas Misra, Chandra K. Jaggi, Avadhesh Kumar Maurya, 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.

Correspondence to: Vishwa  Nath Maurya, Professor & Head, Department of Pure & Applied Mathematics and Statistics, School of Science & Technology, The University of Fiji, Fiji Islands. Email: prof.drvnmaurya@gmail.com

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.

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