Research Article

Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc

Volume: 7 Number: 1 April 15, 2019
EN

Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc

Abstract

In this paper we introduce the notion of relative $(p,q,t)L$-th order, relative $(p,q,t)L$-th type, and relative $(p,q,t)L$-th weak type of meromorphic functions in the unit disc with respect to an entire functions where $p,q\in  \mathbb{N}  $ and $t\in \mathbb{N}  \cup \left\{ -1,0\right\} $ and then investigate some basic properties of it.

Keywords

References

  1. [1] Bernal, L., Crecimiento relativo de funciones enteras. Contribuci´on al estudio de lasfunciones enteras con ´ındice exponencial finito, Doctoral Dissertation, University of Seville, Spain, 1984.
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  3. [3] Fenton, P. C. and Rossi, J., ODEs and Wiman–Valiron theory in the unit disc, J. Math. Anal. Appl., Vol: 367 (2010), 137-145.
  4. [4] Girnyk, M. A., On the inverse problem of the theory of the distribution of values for functions that are analytic in the unit disc, (Russian) Ukrain. Mat. Z., Vol: 29, No. 1 (1977), 32-39.
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  6. [6] Juneja, O. P., Kapoor, G. P. and Bajpai, S. K., On the (p,q)-order and lower (p,q)-order of an entire function, J. Reine Angew. Math., Vol: 282 (1976), 53-67.
  7. [7] Juneja, O. P. and Kapoor, G. P., Analytic functions-growth aspects. Research Notes in Mathematics 104, Pitman Adv. Publ. Prog., Boston-London- Melbourne, 1985.
  8. [8] Kapoor, G. P. and Gopal, K., Decomposition theorems for analytic functions having slow rates of growth in a finite disc. J. Math. Anal. Appl. Vol: 74, (1980), 446-455.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Publication Date

April 15, 2019

Submission Date

May 4, 2018

Acceptance Date

March 18, 2019

Published in Issue

Year 2019 Volume: 7 Number: 1

APA
Biswas, T. (2019). Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc. Konuralp Journal of Mathematics, 7(1), 146-167. https://izlik.org/JA69SH47JK
AMA
1.Biswas T. Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc. Konuralp J. Math. 2019;7(1):146-167. https://izlik.org/JA69SH47JK
Chicago
Biswas, Tanmay. 2019. “Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc”. Konuralp Journal of Mathematics 7 (1): 146-67. https://izlik.org/JA69SH47JK.
EndNote
Biswas T (April 1, 2019) Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc. Konuralp Journal of Mathematics 7 1 146–167.
IEEE
[1]T. Biswas, “Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc”, Konuralp J. Math., vol. 7, no. 1, pp. 146–167, Apr. 2019, [Online]. Available: https://izlik.org/JA69SH47JK
ISNAD
Biswas, Tanmay. “Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc”. Konuralp Journal of Mathematics 7/1 (April 1, 2019): 146-167. https://izlik.org/JA69SH47JK.
JAMA
1.Biswas T. Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc. Konuralp J. Math. 2019;7:146–167.
MLA
Biswas, Tanmay. “Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc”. Konuralp Journal of Mathematics, vol. 7, no. 1, Apr. 2019, pp. 146-67, https://izlik.org/JA69SH47JK.
Vancouver
1.Tanmay Biswas. Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc. Konuralp J. Math. [Internet]. 2019 Apr. 1;7(1):146-67. Available from: https://izlik.org/JA69SH47JK
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