Growth Analysis of Entire Functions Based on Vector Valued Dirichlet Series


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Authors

  • Gyan Prakash Rathore Department of Mathematics and Astronomy, Lucknow University, Lucknow, Uttar Pradesh, India
  • Anupma Rastogi Department of Mathematics and Astronomy, Lucknow University, Lucknow, Uttar Pradesh, India
  • Deepak Gupta Department of Mathematics and Astronomy, Lucknow University, Lucknow, Uttar Pradesh, India

Keywords:

Growth, vector valued dirichlet series, entire function

Abstract

Biswas [11] introduced the idea of $(p, q)$-th relative ritt order and $(p, q)$-th relative ritt type. In this paper, we establish some results of the growth analysis of entire function represented by vector valued Dirichlat series $f(s)= \sum\limits_{n=1}^{\infty}a_n e^{s\lambda_n}$ on the basis of $(p, q)$-th relative ritt $L$-order and $(p, q)$-th relative ritt $L$-lower order of an entire function represented by vector valued Dirichlat series.

Author Biographies

Gyan Prakash Rathore, Department of Mathematics and Astronomy, Lucknow University, Lucknow, Uttar Pradesh, India

 

 

Anupma Rastogi, Department of Mathematics and Astronomy, Lucknow University, Lucknow, Uttar Pradesh, India

 

 

Deepak Gupta, Department of Mathematics and Astronomy, Lucknow University, Lucknow, Uttar Pradesh, India

 

 

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Published

12-02-2023

How to Cite

Gyan Prakash Rathore, Anupma Rastogi, & Deepak Gupta. (2023). Growth Analysis of Entire Functions Based on Vector Valued Dirichlet Series. International Journal of Mathematics And Its Applications, 11(1), 33–40. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/888

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Section

Research Article