Pre-functions and Extended pre-functions of Complex Variables

Authors

  • Thirumalai A
    School of Advanced Sciences, VIT University, Chennai-600 127, Tamil Nadu, India
  • Muthunagai K
    School of Advanced Sciences, VIT University, Chennai-600 127, Tamil Nadu, India
  • Ritu Agarwal
    Department of Mathematics, Malaviya National Institute of Technology, Jaipur-302017, India

Keywords:

pre-exponential functions, pre-trigonometric functions, pre-hyperbolic functions, Extended pre-functions.

Abstract

Pre-functions are functions that possess a sequence $\{f_{n}(z,\beta)\}$ which tends to one of the elementary functions as $n$ tends to infinity and $\beta$ tends to 0. The main objective of this paper is to broaden the scope of pre-functions from functions of a real variable to functions of a complex variable by introducing pre-functions of a complex variable. We have analyzed the pre-functions of a complex variable for their properties. The pre-Laguerre, pre-Bessel and pre-Legendre polynomials of a complex variable have been obtained as special cases. Graphs have been used to visualize complex pre-functions.

Dimensions

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Published

2023-05-21

How to Cite

Pre-functions and Extended pre-functions of Complex Variables. (2023). Journal of the Nigerian Society of Physical Sciences, 5(2), 1427. https://doi.org/10.46481/jnsps.2023.1427

Issue

Volume 5, Issue 2, May 2023

Section

Original Research
Copyright & Licensing

Copyright (c) 2023 Thirumalai A, Muthunagai K, Ritu Agarwal

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Pre-functions and Extended pre-functions of Complex Variables. (2023). Journal of the Nigerian Society of Physical Sciences, 5(2), 1427. https://doi.org/10.46481/jnsps.2023.1427

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