Research Article

Convolution Properties for Salagean-type Analytic Functions Defined by q- Difference Operator

Volume: 68 Number: 2 August 1, 2019
EN

Convolution Properties for Salagean-type Analytic Functions Defined by q- Difference Operator

Abstract

In this paper, we define  Salagean-type analytic  functions by using concept of q- derivative operator. We investigate convolution properties and coefficient estimates for Salagean-type analytic functions denoted by S^{m,\lambda}_q[A,B].

Keywords

References

  1. Andrews, G. E., Applications of basic hypergeometric functions, SIAM Rev. 16 (1974), 441-484.
  2. Çaglar, M. and Deniz, E., Initial coefficients for a subclass of bi-univalent functions defined by Salagean differential operator, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 66 (1) (2017), 85-91. Fine, N. J., Basic hypergeometric series and applications, Math. Surveys Monogr. 1988.
  3. Gasper, G. and Rahman, M., Basic hypergeometric series, Cambridge University Press, 2004.
  4. Goodman, A. W., Univalent functions, Volume I and Volume II, Mariner Pub. Co. Inc. Tampa Florida, 1984.
  5. Jackson, F. H., On q- functions and a certain difference operator, Trans. Royal Soc. Edinburgh, 46 (1909), 253-281.
  6. Jackson, F. H., q- difference equations, Amer. J. Math. 32 (1910), 305-314.
  7. Janowski, W., Some extremal problems for certain families of analytic Functions I, Ann. Polon. Math. 28 (1973), 297-326.
  8. Kac, V. and Cheung, P., Quantum calculus, Springer, 2002.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

August 1, 2019

Submission Date

May 3, 2018

Acceptance Date

November 16, 2018

Published in Issue

Year 2019 Volume: 68 Number: 2

APA
Çetinkaya, A. (2019). Convolution Properties for Salagean-type Analytic Functions Defined by q- Difference Operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 1647-1652. https://doi.org/10.31801/cfsuasmas.420820
AMA
1.Çetinkaya A. Convolution Properties for Salagean-type Analytic Functions Defined by q- Difference Operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(2):1647-1652. doi:10.31801/cfsuasmas.420820
Chicago
Çetinkaya, Asena. 2019. “Convolution Properties for Salagean-Type Analytic Functions Defined by Q- Difference Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2): 1647-52. https://doi.org/10.31801/cfsuasmas.420820.
EndNote
Çetinkaya A (August 1, 2019) Convolution Properties for Salagean-type Analytic Functions Defined by q- Difference Operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 2 1647–1652.
IEEE
[1]A. Çetinkaya, “Convolution Properties for Salagean-type Analytic Functions Defined by q- Difference Operator”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 2, pp. 1647–1652, Aug. 2019, doi: 10.31801/cfsuasmas.420820.
ISNAD
Çetinkaya, Asena. “Convolution Properties for Salagean-Type Analytic Functions Defined by Q- Difference Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/2 (August 1, 2019): 1647-1652. https://doi.org/10.31801/cfsuasmas.420820.
JAMA
1.Çetinkaya A. Convolution Properties for Salagean-type Analytic Functions Defined by q- Difference Operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:1647–1652.
MLA
Çetinkaya, Asena. “Convolution Properties for Salagean-Type Analytic Functions Defined by Q- Difference Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 2, Aug. 2019, pp. 1647-52, doi:10.31801/cfsuasmas.420820.
Vancouver
1.Asena Çetinkaya. Convolution Properties for Salagean-type Analytic Functions Defined by q- Difference Operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Aug. 1;68(2):1647-52. doi:10.31801/cfsuasmas.420820

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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