TAYLOR’S TYPE INFINITE PRODUCTS OF SOME TRIGONOMETRIC FUNCTIONS


By

Mohammad Idris Qureshi, Mahvish Ali?, Dilshad Ahamad and Saima Jabee

Department of Applied Sciences and Humanities

Faculty of Engineering and Technology

Jamia Millia Islamia (A Central University)

New Delhi-110025, India

Email:miqureshi_delhi@yahoo.co.in, mahvishali37@gmail.com, dlshdhmd4@gmail.com,

saimajabee007@gmail.com

(Received : February 05, 2021 ; Revised : August 26,2021)


DOI: https://doi.org/10.58250/Jnanabha.2021.51207

Abstract

In this paper, some infinite product representations of sine and cosine functions (whose all possible zeros and n-th order differential coecient at the point x = a, can be calculated easily) are obtained by using the theory of polynomial equations. This approach is novel as it is different from the approaches used by other authors.


2020 Mathematical Sciences Classification: 40A20, 40A30.

Keywords and Phrases: Taylor’s expansion, Zeros of the function, Infinite products, Sine function, Cosine function.




[Download full paper]