본문 바로가기
KERD
논문KCI 등재

Growth analysis of composite entire functions from the view point of relative $(p,q)$-th order

Tanmay Biswas
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2018.09|한국수학논문집 (Korean Journal of Mathematics)|제26권 제3호|pp. 405-424

1

조회

0

다운로드

2

인용

0

참고문헌

키워드

growth.compositionqEntire function$index-pairleft( pright) $-th orderrelative $
주제분류수학

초록

In this paper we study some comparative growth properties of composite entire functions on the basis of relative $\left( p,q\right) $-th order and relative $\left( p,q\right) $-th lower order of entire function with respect to another entire function where $p$ and $q$ are any two positive integers.

Abstract

In this paper we study some comparative growth properties of composite entire functions on the basis of relative $\left( p,q\right) $-th order and relative $\left( p,q\right) $-th lower order of entire function with respect to another entire function where $p$ and $q$ are any two positive integers.

참고문헌 (17)

  1. L. Bernal, "Crecimiento relativo de funciones enteras, Contribucion al estudio de lasfunciones enteras conndice exponencial finito", pp.1984
  2. L. Bernal, "Orden relative de crecimiento de funciones enteras", Collect. Math., 39, pp.209~229 (1988)
  3. J. Clunie, "The composition of entire and meromorphic functions, Mathematical Essays dedicated to A. J. Macintyre", pp.75~92 (1970), Ohio University Press
  4. S. K. Datta, "Growth of entire functions based on relative order", Int. J. Pure Appl. Math., 51(1), pp.49~58 (2009)
  5. S. K. Datta, "Relative order of composite entire functions and some related growth properties", Bull. Cal. Math. Soc., 102(3), pp.259~266 (2010)
  6. S. K. Datta, "Relative order of entire functions in terms of their maximum terms", Int. Journal of Math. Analysis., 5(43), pp.2119~2126 (2011)
  7. S. K. Datta, "On relative order and maximum term -related comparative growth rates of entire functions", Journal of Tripura Mathematical Society, 14, pp.60~68 (2012)
  8. S. K. Datta, "On relative order based growth estimates of entire functions", International J. of Math. Sci. & Engg. Appls. (IJMSEA)., 7(II), pp.59~67 (2013)
  9. S. K. Datta, "Comparative growth properties of composite entire functions in the light of their relative order", Math. Student., 82(1-4), pp.209~216 (2013)
  10. 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)
  11. B. K. Lahiri, "Entire functions of relative order (p,q)", Soochow J. Math., 31(4), pp.497~513 (2005)
  12. L. M. S. Ruiz, "Abstract and Applied Analysis, Volume 2014", Hindawi Publishing Corporation
  13. D. Sato, "On the rate of growth of entire functions of fast growth", Bull. Amer. Math. Soc., 69, pp.411~414 (1963)[DOI]
  14. A. P. Singh, "On maximum term of composition of entire functions", Proc. Nat. Acad. Sci. India, 59(A), pp.103~115 (1989)
  15. A. P. Singh, "On the maximum modulus and maximum term of composition of entire functions", Indian J. Pure Appl. Math., 22(12), pp.1019~1026 (1991)
  16. E. C. Titchmarsh, "The theory of functions" (1968), Oxford University Press
  17. G. Valiron, "Lectures on the General Theory of Integral Functions" (1949), Chelsea Publishing Company

관련 논문AI추천

On 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 제1호MEASURES OF COMPARATIVE GROWTH ANALYSIS OF COMPOSITE ENTIRE FUNCTIONS ON THE BASIS OF THEIR RELATIVE (p, q)-TH TYPE AND RELATIVE (p, q)-TH WEAK TYPETanmay Biswas한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제1호Generalized relative order-dependent growths of composite entire functionsChinmay Ghosh, Sanjib Kumar Datta, Tanmay Biswas대한수학회 · 대한수학회논문집2017 · 제32권 제3호Some growth aspects of special type of differential polynomial generated by entire and meromorphic functions on the basis of their relative $\left( p,q\right) $-th ordersTanmay Biswas강원경기수학회 · 한국수학논문집2019 · 제27권 제4호Generalized relative order (α,β) based some growth analysis of composite entire functionsChinmay Biswas, Tanmay Biswas한국수학교육학회 · 이론수학과 교직수학2022 · 제29권 제2호Some growth properties based on $(p,q)$-th order of the integer translation of the composite entire and meromorphic functionsRitam Biswas강원경기수학회 · 한국수학논문집2018 · 제26권 제4호

이 간행물의 다른 논문 (11건)

Inequalities for quantum $f$-divergence of convex functions and matricesSilvestru Sever Dragomirpp. 349-371Fuzzy homomorphism theorems on groupsGezahagne Mulat Addispp. 373-385Shifting and modulation for the convolution product of functionals in a generalized Fresnel class김병수, 박연희pp. 387-403Surfaces generated via the evolution of spherical image of a space curveTaha Youssef Shaker, R. A. Hussien, M. A. Soliman, Nassar H.Abdel-Allpp. 425-437Derived crossed modulesTunçar Şahanpp. 439-458
원문 보기