Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 7 Sayı: 1, 146 - 167, 15.04.2019

Öz

Kaynakça

  • [1] Bernal, L., Crecimiento relativo de funciones enteras. Contribuci´on al estudio de lasfunciones enteras con ´ındice exponencial finito, Doctoral Dissertation, University of Seville, Spain, 1984.
  • [2] Bernal, L., Orden relativo de crecimiento de funciones enteras, Collect. Math. Vol: 39 (1988), 209-229.
  • [3] Fenton, P. C. and Rossi, J., ODEs and Wiman–Valiron theory in the unit disc, J. Math. Anal. Appl., Vol: 367 (2010), 137-145.
  • [4] Girnyk, M. A., On the inverse problem of the theory of the distribution of values for functions that are analytic in the unit disc, (Russian) Ukrain. Mat. Z., Vol: 29, No. 1 (1977), 32-39.
  • [5] Hayman, W.K., Meromorphic Functions,Oxford Mathematical Monographs. Clarendon Press, Oxford (1964).
  • [6] Juneja, O. P., Kapoor, G. P. and Bajpai, S. K., On the (p,q)-order and lower (p,q)-order of an entire function, J. Reine Angew. Math., Vol: 282 (1976), 53-67.
  • [7] Juneja, O. P. and Kapoor, G. P., Analytic functions-growth aspects. Research Notes in Mathematics 104, Pitman Adv. Publ. Prog., Boston-London- Melbourne, 1985.
  • [8] Kapoor, G. P. and Gopal, K., Decomposition theorems for analytic functions having slow rates of growth in a finite disc. J. Math. Anal. Appl. Vol: 74, (1980), 446-455.
  • [9] Laine, I., Complex differential equations. Handbook of differential equations: ordinary differential equations, Vol: IV, 269-363, Handb. Differ. Equ., Amsterdam: Elsevier/North-Holland, 2008.
  • [10] Li, Y. Z., On the growth of the solution of two-order differential equations in the unit disc, Pure Appl. Math., Vol: 4 (2002), 295-300.
  • [11] Nicholls, P. J. and Sons, L. R., Minimum modulus and zeros of functions in the unit disc. Proc. Lond.Math. Soc., Vol: 31 (3) (1975), 99-113.
  • [12] Somasundaram, D. and Thamizharasi, R., A note on the entire functions of L-bounded index and L-type, Indian J. Pure Appl.Math., Vol: 19, No. 3, (1988), 284-293.
  • [13] Sons, L. R., Unbounded functions in the unit disc, Internat. J. Math. & Math. Sci., Vol: 6, No. 2 (1983), 201-242.
  • [14] Tsuji, M., Potential Theory in Modern Function Theory, Chelsea, New York, (1975), reprint of the 1959 edition.

Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc

Yıl 2019, Cilt: 7 Sayı: 1, 146 - 167, 15.04.2019

Öz

In this paper we introduce the notion of relative $(p,q,t)L$-th order, relative $(p,q,t)L$-th type, and relative $(p,q,t)L$-th weak type of meromorphic functions in the unit disc with respect to an entire functions where $p,q\in  \mathbb{N}  $ and $t\in \mathbb{N}  \cup \left\{ -1,0\right\} $ and then investigate some basic properties of it.

Kaynakça

  • [1] Bernal, L., Crecimiento relativo de funciones enteras. Contribuci´on al estudio de lasfunciones enteras con ´ındice exponencial finito, Doctoral Dissertation, University of Seville, Spain, 1984.
  • [2] Bernal, L., Orden relativo de crecimiento de funciones enteras, Collect. Math. Vol: 39 (1988), 209-229.
  • [3] Fenton, P. C. and Rossi, J., ODEs and Wiman–Valiron theory in the unit disc, J. Math. Anal. Appl., Vol: 367 (2010), 137-145.
  • [4] Girnyk, M. A., On the inverse problem of the theory of the distribution of values for functions that are analytic in the unit disc, (Russian) Ukrain. Mat. Z., Vol: 29, No. 1 (1977), 32-39.
  • [5] Hayman, W.K., Meromorphic Functions,Oxford Mathematical Monographs. Clarendon Press, Oxford (1964).
  • [6] Juneja, O. P., Kapoor, G. P. and Bajpai, S. K., On the (p,q)-order and lower (p,q)-order of an entire function, J. Reine Angew. Math., Vol: 282 (1976), 53-67.
  • [7] Juneja, O. P. and Kapoor, G. P., Analytic functions-growth aspects. Research Notes in Mathematics 104, Pitman Adv. Publ. Prog., Boston-London- Melbourne, 1985.
  • [8] Kapoor, G. P. and Gopal, K., Decomposition theorems for analytic functions having slow rates of growth in a finite disc. J. Math. Anal. Appl. Vol: 74, (1980), 446-455.
  • [9] Laine, I., Complex differential equations. Handbook of differential equations: ordinary differential equations, Vol: IV, 269-363, Handb. Differ. Equ., Amsterdam: Elsevier/North-Holland, 2008.
  • [10] Li, Y. Z., On the growth of the solution of two-order differential equations in the unit disc, Pure Appl. Math., Vol: 4 (2002), 295-300.
  • [11] Nicholls, P. J. and Sons, L. R., Minimum modulus and zeros of functions in the unit disc. Proc. Lond.Math. Soc., Vol: 31 (3) (1975), 99-113.
  • [12] Somasundaram, D. and Thamizharasi, R., A note on the entire functions of L-bounded index and L-type, Indian J. Pure Appl.Math., Vol: 19, No. 3, (1988), 284-293.
  • [13] Sons, L. R., Unbounded functions in the unit disc, Internat. J. Math. & Math. Sci., Vol: 6, No. 2 (1983), 201-242.
  • [14] Tsuji, M., Potential Theory in Modern Function Theory, Chelsea, New York, (1975), reprint of the 1959 edition.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Tanmay Biswas

Yayımlanma Tarihi 15 Nisan 2019
Gönderilme Tarihi 4 Mayıs 2018
Kabul Tarihi 18 Mart 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 7 Sayı: 1

Kaynak Göster

APA Biswas, T. (2019). Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc. Konuralp Journal of Mathematics, 7(1), 146-167.
AMA Biswas T. Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc. Konuralp J. Math. Nisan 2019;7(1):146-167.
Chicago Biswas, Tanmay. “Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc”. Konuralp Journal of Mathematics 7, sy. 1 (Nisan 2019): 146-67.
EndNote Biswas T (01 Nisan 2019) Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc. Konuralp Journal of Mathematics 7 1 146–167.
IEEE T. Biswas, “Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc”, Konuralp J. Math., c. 7, sy. 1, ss. 146–167, 2019.
ISNAD Biswas, Tanmay. “Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc”. Konuralp Journal of Mathematics 7/1 (Nisan 2019), 146-167.
JAMA Biswas T. Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc. Konuralp J. Math. 2019;7:146–167.
MLA Biswas, Tanmay. “Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc”. Konuralp Journal of Mathematics, c. 7, sy. 1, 2019, ss. 146-67.
Vancouver Biswas T. Some Study on Slowly Changing Function Based Relative Growth of Meromorphic Function in the Unit Disc. Konuralp J. Math. 2019;7(1):146-67.
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