Research Article

GENERALISED ITERATION OF ENTIRE FUNCTIONS WITH INDEX-PAIR $[p,q]$

Volume: 5 Number: 1 April 1, 2017
EN

GENERALISED ITERATION OF ENTIRE FUNCTIONS WITH INDEX-PAIR $[p,q]$

Abstract

Using generalised iteration [2] of two entire functions we extend the results of Hong-Yan Xu et.al [16] for generalised iterated entire functions with index-pair $[p,q]$.

Keywords

References

  1. [1] Banerjee, D. and Mandal, B., Generalised iteration of entire functions with nite iterated order, Journal of Classical Analysis, Vol:7, No:1 (2015), 47-62.
  2. [2] Banerjee, D. and Mondal, N., Maximum modulus and maximum term of generalized iterated entire functions, Bulletin of the Allahabad Mathematical Society, Vol:27, No:1 (2012), 117-131.
  3. [3] Bernal, L. G., On growth k-order of solutions of a complex homogeneous linear differential equations, Proc. Amer. Math. Soc., Vol:101, No:2 (1987), 317-322.
  4. [4] Clunie, J., The Composition of Entire and Meromorphic Functions, Mathematical Essays Dedicated to A. J. Macintyre, Ohio University Press, 1970, 75-92.
  5. [5] Hayman, W. K., Meromorphic Functions, Clarendon Press, Oxford, 1964.
  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., 282, (1976), 53-67.
  7. [7] Kinnunen, L., Linear differential equations with solutions of nite iterated order, Southeast Asian Bull. Math., Vol:22, No:4 (1998), 385-405.
  8. [8] Lahiri, I. and Sharma, D. K., Growth of composite entire and meromorphic functions, Indian J. Pure Appl. Math., Vol:26, No:5 (1995), 451-458.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

DIBYENDU Banerjee
DEPARTMENT OF MATHEMATICS,VISVA-BHARATI,SANTINIKETAN-731235
India

BISWAJIT Mandal This is me
BUNIA DANGAL HIGH SCHOOL,BUNIA,LABPUR-731303,WEST BENGAL
India

Publication Date

April 1, 2017

Submission Date

February 19, 2017

Acceptance Date

February 6, 2017

Published in Issue

Year 2017 Volume: 5 Number: 1

APA
Banerjee, D., & Mandal, B. (2017). GENERALISED ITERATION OF ENTIRE FUNCTIONS WITH INDEX-PAIR $[p,q]$. Konuralp Journal of Mathematics, 5(1), 132-144. https://izlik.org/JA79AD29HU
AMA
1.Banerjee D, Mandal B. GENERALISED ITERATION OF ENTIRE FUNCTIONS WITH INDEX-PAIR $[p,q]$. Konuralp J. Math. 2017;5(1):132-144. https://izlik.org/JA79AD29HU
Chicago
Banerjee, DIBYENDU, and BISWAJIT Mandal. 2017. “GENERALISED ITERATION OF ENTIRE FUNCTIONS WITH INDEX-PAIR $[p,q]$”. Konuralp Journal of Mathematics 5 (1): 132-44. https://izlik.org/JA79AD29HU.
EndNote
Banerjee D, Mandal B (April 1, 2017) GENERALISED ITERATION OF ENTIRE FUNCTIONS WITH INDEX-PAIR $[p,q]$. Konuralp Journal of Mathematics 5 1 132–144.
IEEE
[1]D. Banerjee and B. Mandal, “GENERALISED ITERATION OF ENTIRE FUNCTIONS WITH INDEX-PAIR $[p,q]$”, Konuralp J. Math., vol. 5, no. 1, pp. 132–144, Apr. 2017, [Online]. Available: https://izlik.org/JA79AD29HU
ISNAD
Banerjee, DIBYENDU - Mandal, BISWAJIT. “GENERALISED ITERATION OF ENTIRE FUNCTIONS WITH INDEX-PAIR $[p,q]$”. Konuralp Journal of Mathematics 5/1 (April 1, 2017): 132-144. https://izlik.org/JA79AD29HU.
JAMA
1.Banerjee D, Mandal B. GENERALISED ITERATION OF ENTIRE FUNCTIONS WITH INDEX-PAIR $[p,q]$. Konuralp J. Math. 2017;5:132–144.
MLA
Banerjee, DIBYENDU, and BISWAJIT Mandal. “GENERALISED ITERATION OF ENTIRE FUNCTIONS WITH INDEX-PAIR $[p,q]$”. Konuralp Journal of Mathematics, vol. 5, no. 1, Apr. 2017, pp. 132-44, https://izlik.org/JA79AD29HU.
Vancouver
1.DIBYENDU Banerjee, BISWAJIT Mandal. GENERALISED ITERATION OF ENTIRE FUNCTIONS WITH INDEX-PAIR $[p,q]$. Konuralp J. Math. [Internet]. 2017 Apr. 1;5(1):132-44. Available from: https://izlik.org/JA79AD29HU
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