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Abstrakty
In the paper we prove some growth properties of maximum term and maximum modulus of composition of entire functions on the basis of relative L*-order, relative L*-type and relative L*-weak type.
Czasopismo
Rocznik
Tom
Strony
59--74
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
- Department of Mathematics University of Kalyani Kalyani, Dist-Nadia PIN-741235, West Bengal, India
autor
- Rajbari, Rabindrapalli, R. N. Tagore Road P.O. Krishnagar, P.S.- Kotwali, Dist-Nadia PIN- 741101, West Bengal, India
autor
- Jhorehat F. C. High School for Girls P.O.- Jhorehat, P.S.- Sankrail, Dist-Howrah PIN- 711302, West Bengal, India
Bibliografia
- [1] Bernal L., Orden relative de crecimiento de funciones enteras, Collect. Math., 39(1988), 209-229.
- [2] Clunie J., The composition of entire and meromorphic functions, Mathematical Essays dedicated to A. J. Macintyre, Ohio University Press (1970), 75-92.
- [3] Datta S.K., Biswas T., Growth of entire functions based on relative order, International Journal of Pure and Applied Mathematics (IJPAM), 51(1)(2009), 49-58.
- [4] Datta S.K., Kar S., On the L-order of meromorphic functions based on relative sharing, International Journal of Pure and Applied Mathematics (IJPAM), 56(1)(2009), 43-47.
- [5] Datta S.K., Maji A.R., Relative order of entire functions in terms of their maximum terms, Int. Journal of Math. Analysis, 5(43)(2011), 2119-2126.
- [6] Datta S.K., Biswas T., Ali S., Growth estimates of composite entire functons based on maximum terms using their relative L-order, Advances in Applied Mathematical Analysis, 7(2)(2012), 119-134.
- [7] Datta S.K., Biswas T., Biswas M., Maximum modulus and maximum terms-related growth properties of entire functions based on relative type and relative weak type, International Journal of Statistika and Mathematika, 6(3)(2013), 115-120.
- [8] Singh S.K., Barker G.P., Slowly changing functions and their applications, Indian J. Math., 19(1)(1977), 1-6.
- [9] Somasundaram D., Thamizharasi R., A note on the entire functions of L-bounded index and L type, Indian J. Pure Appl. Math., 19(3)(March 1988), 284-293.
- [10] Singh A.P., On maximum term of composition of entire functions, Proc. Nat. Acad. Sci. India, 59(A), Part I (1989), 103-115.
- [11] Singh, A.P., Baloria M.S., On maximum modulus and maximum term of composition of entire functions, Indian J. Pure Appl. Math., 22(12)(1991), 1019-1026.
- [12] Titchmarsh E.C., The Theory of Functions, 2nd ed. Oxford University Press, Oxford, 1968.
- [13] Valiron G., Lectures on the General Theory of Integral Functions, Chelsea Publishing Company, 1949.
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Bibliografia
Identyfikator YADDA
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