Hyper Relative Order (p, q) of Entire Functions

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.

Bibliographic Details
Main Authors: Banerjee Dibyendu, Batabyal Saikat
Format: Article
Language:English
Published: Sciendo 2017-12-01
Series:Annals of the West University of Timisoara: Mathematics and Computer Science
Subjects:
Online Access:https://doi.org/10.1515/awutm-2017-0015
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spelling doaj-d30cd1118ecc436e85b531c63561b1bf2021-09-06T19:40:24ZengSciendoAnnals of the West University of Timisoara: Mathematics and Computer Science1841-33072017-12-01552658410.1515/awutm-2017-0015awutm-2017-0015Hyper Relative Order (p, q) of Entire FunctionsBanerjee Dibyendu0Batabyal Saikat1Department of Mathematics, Visva-Bharati University, Santiniketan -731235, IndiaAnnapurnapalli, Kalikapur, Bolpur -731204, IndiaAfter 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.https://doi.org/10.1515/awutm-2017-0015entire functionshyper relative order (p, q)property(a)compositionorder (lower order)30d20
collection DOAJ
language English
format Article
sources DOAJ
author Banerjee Dibyendu
Batabyal Saikat
spellingShingle Banerjee Dibyendu
Batabyal Saikat
Hyper Relative Order (p, q) of Entire Functions
Annals of the West University of Timisoara: Mathematics and Computer Science
entire functions
hyper relative order (p, q)
property(a)
composition
order (lower order)
30d20
author_facet Banerjee Dibyendu
Batabyal Saikat
author_sort Banerjee Dibyendu
title Hyper Relative Order (p, q) of Entire Functions
title_short Hyper Relative Order (p, q) of Entire Functions
title_full Hyper Relative Order (p, q) of Entire Functions
title_fullStr Hyper Relative Order (p, q) of Entire Functions
title_full_unstemmed Hyper Relative Order (p, q) of Entire Functions
title_sort hyper relative order (p, q) of entire functions
publisher Sciendo
series Annals of the West University of Timisoara: Mathematics and Computer Science
issn 1841-3307
publishDate 2017-12-01
description 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.
topic entire functions
hyper relative order (p, q)
property(a)
composition
order (lower order)
30d20
url https://doi.org/10.1515/awutm-2017-0015
work_keys_str_mv AT banerjeedibyendu hyperrelativeorderpqofentirefunctions
AT batabyalsaikat hyperrelativeorderpqofentirefunctions
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