한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제31권2호
  • /
  • Pages.119-130
  • /
  • 2024
  • /
  • 1226-0657(pISSN)
  • /
  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
권호 표지
DOI QR코드

DOI QR Code

GENERALIZED (α, β, γ) ORDER AND GENERALIZED (α, β, γ) TYPE ORIENTED SOME GROWTH PROPERTIES OF COMPOSITE ENTIRE AND MEROMORPHIC FUNCTIONS

  • 투고 : 2022.11.05
  • 심사 : 2024.03.15
  • 발행 : 2024.05.31
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we discuss on the growth properties of composite entire and meromorphic functions on the basis of generalized (α, β, γ) order and generalized (α, β, γ) type comparing to their corresponding left and right factors.

키워드

과제정보

The authors are very much grateful to the reviewers for their valuable suggestions to bring the paper in its present form.

참고문헌

  1. B. Belaidi & T. Biswas: Study of complex oscillation of solutions of a second order linear differential equation with entire coefficients of (α, β, γ)-order. WSEAS Trans. Math. 21 (2022), 361-370. doi:10.37394/23206.2022.21.43
  2. B. Belaidi & T. Biswas: Growth of (α, β, γ)-order solutions of linear differential equations with entire coefficients. arXiv:2308.04208v1 [math.CV] 8 (2023), 1-25.
  3. W.K. Hayman: Meromorphic Functions. The Clarendon Press, Oxford, 1964.
  4. J. Heittokangas, J. Wang, Z.T. Wen & H. Yu: Meromorphic functions of finite φ-order and linear q-difference equations. J. Difference Equ. Appl. 27 (2021), no. 9, 1280-1309. doi:10.1080/10236198.2021.1982919
  5. O.P. Juneja, G.P. Kapoor & S.K. Bajpai: On the (p, q)-order and lower (p, q)-order of an entire function. J. Reine Angew. Math. 282 (1976), 53-67.
  6. O.P. Juneja, G.P. Kapoor & S.K. Bajpai: On the (p, q)-type and lower (p, q)-type of an entire function. J. Reine Angew. Math. 290 (1977), 180-190.
  7. D. Sato: On the rate of growth of entire functions of fast growth. Bull. Amer. Math. Soc. 69 (1963), 411-414. https://doi.org/10.1090/S0002-9904-1963-10951-9
  8. G. Valiron: Lectures on the general theory of integral functions. Chelsea Publishing Company, New York (NY) USA, 1949.
  9. L. Yang: Value distribution theory. Springer-Verlag, Berlin, 1993.