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Growth Analysis of Composition of Integer Translated Entire and Meromorphic Functions
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In this paper we study the effect of integer translation on Nevanlinna's characteristic function of a meromorphic function. Also, we investigate comparative growth of integer translated entire and meromorphic functions under different conditions.
Abstract
In this paper we study the effect of integer translation on Nevanlinna's characteristic function of a meromorphic function. Also, we investigate comparative growth of integer translated entire and meromorphic functions under different conditions.
참고문헌 (12)
- Emile Borel, "Sur les zéros des fonctions entières", Acta Mathematica, 20(0), pp.357~396 (1897), International Press of Boston[DOI]
- Walter Bergweiler, "On the nevanlinna characteristic of a composite function", Complex Variables, Theory and Application: An International Journal, 10(2-3), pp.225~236 (1988), Informa UK Limited[DOI]
- Tanmay Biswas, "Effect of integer translation on relative order and relative type of entire and meromorphic functions", 대한수학회논문집, 33(2), pp.485~494 (2018), 대한수학회
- S.K. Datta, "Some growth properties on integer translation of entire and meromorphic functions", International journal of advanced scientific and technical research, 06(2), pp.485~492 (2012)[DOI]
- Sanjib Kumar Datta, "Some relations on the growth rates of composite entire functions using their (p,q) th order", Tamkang Journal of Mathematics, 44(3), pp.289~301 (2013), Tamkang Journal of Mathematics[DOI]
- W.K. Hayman, "Meromorphic Functions" (1964), The Clarendon Press
- O.P. Juneja, "On the (p, q)¡order and lower (p, q)-order of an entire function", J. Reine Angew. Math, 282, pp.53~67 (1976)[DOI]
- Q. Lin, "On a conjecture of Shah concerning small functions", Kexue Tong bao (English Ed.), 31(4), pp.220~224 (1986)
- Rolf Nevanlinna, "Zur Theorie der Meromorphen Funktionen", Acta Mathematica, 46(1-2), pp.1~99 (1925), International Press of Boston[DOI]
- Daihachiro Sato, "On the rate of growth of entire functions of fast growth", Bulletin of the American Mathematical Society, 69(3), pp.411~414 (1963), American Mathematical Society (AMS)[DOI]
- S. Tamang, "Some results on the integer translation of composite entire and meromorphic functions", Kanuralp Journal of Mathematics, 5(2), pp.1~11 (2017)
- G. Valiron, "Lectures on the General Theory of Integral Functions" (1949), Chelsea Publishing Company
관련 논문AI추천
Effect of integer translation on relative order and relative type of entire and meromorphic functionsSanjib Kumar Datta, Tanmay Biswas대한수학회 · 대한수학회논문집2018 · 제33권 제2호Some growth properties based on $(p,q)$-th order of the integer translation of the composite entire and meromorphic functionsRitam Biswas강원경기수학회 · 한국수학논문집2018 · 제26권 제4호Some generalized growth properties of composite entire and meromorphic functionsChinmay Biswas, Tanmay Biswas강원경기수학회 · 한국수학논문집2021 · 제29권 제1호Growth analysis of composite entire functions from the view point of relative $(p,q)$-th orderTanmay Biswas강원경기수학회 · 한국수학논문집2018 · 제26권 제3호Generalized relative order-dependent growths of composite entire functionsChinmay Ghosh, Sanjib Kumar Datta, Tanmay Biswas대한수학회 · 대한수학회논문집2017 · 제32권 제3호On some growth analysis of composite entire and meromorphic functions from the view point of their relative $(p,q)$-th type and relative $(p,q)$-th weak typeTanmay Biswas강원경기수학회 · 한국수학논문집2018 · 제26권 제1호
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