Refine your search
Collections
Co-Authors
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z All
Biswas, Nityagopal
- On Different Relative Growth Factors of Entire Functions
Abstract Views :293 |
PDF Views:1
Authors
Affiliations
1 Department of Mathematics, University of Kalyani, Kalyani, IN
2 Department of Mathematics, Darjeeling Government College, Darjeeling, IN
3 Department of Mathematics, Chakdaha College, Chakdaha, IN
1 Department of Mathematics, University of Kalyani, Kalyani, IN
2 Department of Mathematics, Darjeeling Government College, Darjeeling, IN
3 Department of Mathematics, Chakdaha College, Chakdaha, IN
Source
The Journal of the Indian Mathematical Society, Vol 87, No 1-2 (2020), Pagination: 37–55Abstract
In this paper we investigate some properties related to sum and product of different relative growth factors of an entire function with respect to another entire function in connection with a special type of non-decreasing, unbounded function ψ.Keywords
Entire function, Growth, Order (Lower Order), (p;q;t)L−ψ-order (p;q;t)L−ψ−Lower Order), Non-Decreasing, Unbounded Function.
References
- R. P. Agarwal, S. K. Datta, T. Biswas and P. Sahoo, On the growth analysis of iterated entire functions, Advanced Studies in Contemporary Mathematics. 26(1) (2016) , 93-137.
- L. Bernal, Orden relativ de crecimiento de funciones enteras, Collect Mth. 39(1988), 209-229.
- T. Biswas, Some results relating to sum and product theorems of relative (p,q, t)L-th order and relative (p,q, t)L-th type of entire functions, Korean J. Math. 26(2) (2018), 215-269.
- S. K. Datta, T. Biswas and C. Ghosh, On relative (p,q)-th order based growth measure of entire functions, Filomat. 30 (7) (2016) , 1723-1735.
- W. K. Hayman, Meromorphic functions, The Calendron Press, Oxford, 1964.
- O. P. Juneja, G. P. Kapoor, and 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.
- O. P. Juneja, G. P. Kapoor, and 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.
- L. M. Sanchez Ruiz, S. K. Datta, T. Biswas, and G. K. Mandal, On the (p,q)th relative order and oriented growth properties of entire functions, Abstr. Appl. Anal. 2014, Article ID 826137, 8 pages, http://dx.doi.org/10.1155/2014/826137.
- D. Somasundaram, and R. Thamizharasi, A note on the entire functions of L-bounded index and L-type, Indian J. Pure. Appl. Math. 19 (3)(1988), 284-293.
- H. M. Srivastava, S. K. Datta, T. Biswas and D. Dutta, Sum and product theorems depending on the (p,q)-th order and (p,q)-th type of entire functions, Cogent Mathematics. 2015, 2 : 1107951, 1-22.
- T. Samten and N. Biswas, Some results on the integer translation of composite entire and meromorphic functions, Konuralp J. Math. 5(2) (2017), 1-11.
- G. Valiron, Lectures on the General Theory of Integral Functions, Chelsea Publishing Company, 1949.
- Growth Properties of Solutions of Complex Linear Differential-difference Equations with Coefficients having the Same Logarithmic Order in the Unit Disc
Abstract Views :393 |
PDF Views:0
Authors
Source
The Journal of the Indian Mathematical Society, Vol 88, No 3-4 (2021), Pagination: 237–249Abstract
In this paper, we investigate the relations between the growth of meromorphic coefficients and that of meromorphic solutions of complex linear differential-difference equations with meromorphic cofficients of finite logarithmic order in the unit disc. Our results can be viewed as the generalization for both the cases of complex linear differential equations and complex linear difference equations.Keywords
Nevanlinna's Theory, Linear differential-difference equation, Meromorphic solution, Logarithmic order, Unit discReferences
- N. Biswas and S. Tamang, Growth of solutions to linear differential equations with entire coefficients of [p; q]-order in the complex plane, Commun. Korean Math. Soc., 33 (4) 2018, 1217-1227.
- N. Biswas, S. K. Datta and S. Tamang, On growth properties of transcendental mero- morphic solutions of linear differential equations with entire coefficients of higher order, Commun. Korean Math. Soc., 34 (4) (2019), 1245-1259.
- T. Y. P. Chern, On meromorphic functions with finite logarithmic order, Trans. Am. Math. Soc., 358 (2) (2006), 473-489.
- S. K. Datta and N. Biswas, Growth properties of solutions of complex linear differential- difference equations with coefficients having the same 'φ-order, Bull. Cal. Math. Soc., 111(3) (2019), 253-266.
- A. Goldberg and I. Ostrovskii, Value Distribution of Meromorphic Functions, Transl. Math. Monogr., 236, Amer. Math. Soc. Providence RI, 2008.
- G. G. Gundersen, Finite order solutions of second order linear differential equations, Trans. Amer. Math. Soc., 305 (1) (1988), 415-429.
- W. K. Hayman, Meromorphic Functions, Clarendon press, Oxford, 1964.
- J. Heittokangas and Z.T. Wen, Functions of Finite logarithmic order in the unit disc, Part I, J. Math. Anal. Appl., 415 (2014), 435-461.
- J. Heittokangas and Z.T. Wen, Functions of Finite logarithmic order in the unit disc, Part II, Comput. Methods Funct. Theory, 15 (2015), 37-58.
- I. Laine, Nevanlinna Theory and Complex Differential Equations, Walter de Gruyter, Berlin, New York, 1993.
- I. Laine and C. C. Yang, Clunie theorems for difference and q-difference polynomials, J. Lond. Math. Soc., 76 (3) (2007), 556-566.
- H. Liu and Z. Mao, On the meromorphic solutions of some linear difference equations. Adv. Difference Equ., 133 (2013), 1-12.
- C. Pommerenke, On the mean growth of the solutions of complex linear di erential equationsin the disc, Complex Var. Ell. Equ., 1(1) (1982), 23-38.
- J. Tu and C. F. Yi, On the growth of solutions of a class of higher order linear differential equations with coecients having the same order, J. Math. Anal. Appl., 340 (1) (2008), 487-497.
- J. T. Wen, Finite logarithmic order solutions of linear q-difference equations, Bull. Korean Math. Soc., 51 (1) (2014), 83-98.