Hyper Relative Order (p, q) of Entire Functions-Reference-Cited by-同舟云学术

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Hyper Relative Order (p, q) of Entire Functions

Published:2017-12-01 Issue:2 Volume:55 Page:65-84
ISSN:1841-3307
Container-title:Annals of West University of Timisoara - Mathematics and Computer Science
language:en
Short-container-title:

Author:

Banerjee Dibyendu¹,Batabyal Saikat²

Affiliation:

1. Department of Mathematics , Visva-Bharati University , Santiniketan - 731235 , India

2. Annapurnapalli, Kalikapur, Bolpur - 731204 , India

Abstract

Abstract After the works of Lahiri and Banerjee [6] on the idea of relative order (p, q) of entire functions, we introduce in this paper hyper relative order (p, q) of entire functions where p, q are positive integers with p>q and prove sum theorem, product theorem and theorem on derivative.

Publisher

Walter de Gruyter GmbH

Reference15 articles.

1. [1] W. Bergweiler, G. Jank, and L. Volkmann, Wachstumsverhalten Zusammengesetzter Funktionen, Results in Mathematics, 7, (1984), 35–53.

2. [2] L. Bernal, Orden relative de crecimiento de funciones enteras, Collect. Math., 39, (1988), 209-229.

3. [3] J. Clunie, The composition of entire and meromorphic functions, Mathematical Esays dedicated to Macintyre, (1970), 75–92.

4. [4] S. K. Datta and R. Biswas, A special type of differential polynomial and its comparative growth properties, International Journal of Modern Engineering Research, 3(5), (2013), 2606-2614.

5. [5] B. K. Lahiri and Dibyendu Banerjee, Generalized relative order of entire functions, Proc. Nat. Acad. Sci. India, 72(A) (IV), (2002), 351-371.

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