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Some remarks on the growth of composite $p$-adic entire function

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In this paper we wish to introduce the concept of generalized relative index-pair $(\alpha ,\beta)$ of a $p$-adic entire function with respect to another $p$-adic entire function and then prove some results relating to the growth rates of composition of two $p$-adic entire functions with their corresponding left and right factors.

Abstract

In this paper we wish to introduce the concept of generalized relative index-pair $(\alpha ,\beta)$ of a $p$-adic entire function with respect to another $p$-adic entire function and then prove some results relating to the growth rates of composition of two $p$-adic entire functions with their corresponding left and right factors.

참고문헌 (23)

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  2. T. Biswas, "On the Growth Properties of Composite p-adic Entire Functions, Noor Publishing, Chisinau-2068", Republic of Moldova Europe, 133~ (2021)
  3. T. Biswas, "Relative(p; q)-' order oriented some growth properties of p-adic entire functions", J. Fract. Calc. Appl, 11(1), pp.161~169 (2020)
  4. T. Biswas, "A note on generalized growth analysis of composite entire functions", Poincare J. Anal. Appl, 7(2), pp.257~266 (2020)
  5. T. Biswas, "Generalized(;) order based on some growth properties of wron-skians", Mat. Stud, 54(1), pp.46~55 (2020)
  6. Tanmay Biswas, "Some growth properties of composite p-adic entire functions on the basis of their relative order and relative lower order", Asian-European Journal of Mathematics, 12(03), pp.1950044~ (2019), World Scientific Pub Co Pte Ltd[DOI]
  7. Tanmay Biswas, "Some growth aspects of composite p-adic entire functions in the light of their (p,q)-th relative order and (p,q))-th relative type", 충청수학회지, 31(4), pp.429~460 (2018), 충청수학회[DOI]
  8. T. Biswas, "On some growth analysis of p-adic entire functions on the basis of their(p; q)-th relative order and(p; q)-th relative lower order", Uzbek Math. J, 2018(4), pp.160~169 (2018)
  9. Tanmay Biswas, "Relative order and relative type based growth properties of iterated $p$ adic entire functions", 한국수학논문집, 26(4), pp.629~663 (2018), 강원경기수학회
  10. Tanmay Biswas, "A NOTE ON (p; q)-TH RELATIVE ORDER AND (p; q)-TH RELATIVE TYPE OF P-ADIC ENTIRE FUNCTIONS", 호남수학학술지, 40(4), pp.621~659 (2018), 호남수학회
  11. T. Biswas, "(p; q)-th order oriented growth measurement of composite p-adic entire functions", Carpathian Math. Publ, 10(2), pp.248~272 (2018)
  12. K. Boussaf, "Order, type and cotype of growth for p-Adic entire functions, A survey with additional properties, p-Adic Numbers", Ultrametric Anal. Appl.,, 8(4), pp.280~297 (2016)
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  15. A. Escassut, "Value Distribution in p-adic Analysis" (2015), World Scienti c Publishing Co. Pte. Ltd
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  17. A. Escassut, "p-adic Value Distribution. Some Topics on Value Distribution and Di erentability in Complex and P-adic Analysis", pp.42~138 (2008), Science Press
  18. A. Escassut, "Analytic Elements in p-adic Analysis" (1995), World Scienti c Publishing Co. Pte. Ltd
  19. P. C. Hu, "Meromorphic Functions over non-Archimedean Fields" (2000), Kluwer Aca-demic Publishers
  20. O. P. Juneja, "On the(p; q)-type and lower(p; q)-type of an entire function", J. Reine Angew. Math, 290, pp.180~190 (1977)
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  22. A. Robert, "A Course in p-adic analysis, Graduate texts" (2000), Springer
  23. M. N. Sheremeta, "Connection between the growth of the maximum of the modulus of an entire function and the moduli of the coe cients of its power series expansion", Izv. Vyssh. Uchebn. Zaved Mat, 2, pp.100~108 (1967)

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