Have a personal or library account? Click to login
Hyper Relative Order (p, q) of Entire Functions Cover

References

  1. [1] W. Bergweiler, G. Jank, and L. Volkmann, Wachstumsverhalten Zusammengesetzter Funktionen, Results in Mathematics, 7, (1984), 35–53.10.1007/BF03322486
  2. [2] L. Bernal, Orden relative de crecimiento de funciones enteras, Collect. Math., 39, (1988), 209-229.
  3. [3] J. Clunie, The composition of entire and meromorphic functions, Mathematical Esays dedicated to Macintyre, (1970), 75–92.
  4. [4] S. K. Datta and R. Biswas, A special type of differential polynomial and its comparative growth properties, International Journal of Modern Engineering Research, 3(5), (2013), 2606-2614.
  5. [5] B. K. Lahiri and Dibyendu Banerjee, Generalized relative order of entire functions, Proc. Nat. Acad. Sci. India, 72(A) (IV), (2002), 351-371.
  6. [6] B. K. Lahiri and Dibyendu Banerjee, Entire functions of relative order (p,q), Soochow Journal of Mathematics, 31 (4), (2005), 497–513.
  7. [7] 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), 53-67.10.1515/crll.1976.282.53
  8. [8] 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), 180-190.10.1515/crll.1977.290.180
  9. [9] H. S. Kasana, Existence theorem for proximate type of entire functions with index pair (p,q), Bull. Aus. Math. Soc., 35, (1987), 35-42.10.1017/S0004972700013010
  10. [10] H. S. Kasana, On the coefficients of entire functions with index pair (p,q), Bull. Math., 32(80) (3), (1988), 235-242.
  11. [11] H. S. Kasana, The generalized type of entire functions with index pair (p,q), Comment. Math., 2, (1990), 215-222.
  12. [12] B. J. Levin, Distribution of zeros of entire functions, American Mathematical Society, publ Providence, 1980.
  13. [13] F. Lu and J. Qi, A note on the hyper order of entire functions, Bull. Korean Math. Soc., 50 (4), (2013), 1209-1219.10.4134/BKMS.2013.50.4.1209
  14. [14] D. Sato, On the rate of growth of entire functions of fast growth, Bull. Amer. Math. Soc., 69, (1963), 411-414.10.1090/S0002-9904-1963-10951-9
  15. [15] E. C. Titchmarsh, The theory of functions, 2nd ed., University Press, Oxford, 1968.
DOI: https://doi.org/10.1515/awutm-2017-0015 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Language: English
Page range: 65 - 84
Submitted on: Jan 18, 2017
Accepted on: Jul 2, 2017
Published on: Dec 29, 2017
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2017 Dibyendu Banerjee, Saikat Batabyal, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.