$(p,q)^{th}$ $\psi-$order and $(p,q)^{th}$ $\psi-$type of Entire and Meromorphic Functions and Some of its Estimation


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Authors

  • Dibyendu Banerjee Department of Mathematics, Visva-Bharati, Santiniketan, West Bengal, India
  • Simul Sarkar Shikarpur High School (H.S), Mathabhanga, West Bengal, India

Keywords:

Entire function, Meromorphic function, $(p,q)^{th}$ $\psi-order$, $(p,q)^{th}$ $\psi-type$

Abstract

We introduce the concept of $(p,q)^{th}$ $\psi-order$ and $(p,q)^{th}$ $\psi-type$ of entire and meromorphic functions to generalise some results related to the $\varphi-order$ concept introduced by Chyzhykov-Semochko in [7]. In this paper we establish some estimates of the sum, product and the derivative of entire and meromorphic functions in the complex plane.

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Published

15-09-2021

How to Cite

Dibyendu Banerjee, & Simul Sarkar. (2021). $(p,q)^{th}$ $\psi-$order and $(p,q)^{th}$ $\psi-$type of Entire and Meromorphic Functions and Some of its Estimation. International Journal of Mathematics And Its Applications, 9(3), 19–31. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/39

Issue

Vol. 9 No. 3 (2021)

Section

Research Article

License

Creative Commons License

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