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

Asena Çetinkaya

doi:10.31801/cfsuasmas.420820

Araştırma Makalesi

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

Yıl 2019, Cilt: 68 Sayı: 2, 1647 - 1652, 01.08.2019

Asena Çetinkaya

https://doi.org/10.31801/cfsuasmas.420820

Öz

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].

Anahtar Kelimeler

salagean differential operator, q-difference operator, convolution

Kaynakça

Andrews, G. E., Applications of basic hypergeometric functions, SIAM Rev. 16 (1974), 441-484.
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.
Gasper, G. and Rahman, M., Basic hypergeometric series, Cambridge University Press, 2004.
Goodman, A. W., Univalent functions, Volume I and Volume II, Mariner Pub. Co. Inc. Tampa Florida, 1984.
Jackson, F. H., On q- functions and a certain difference operator, Trans. Royal Soc. Edinburgh, 46 (1909), 253-281.
Jackson, F. H., q- difference equations, Amer. J. Math. 32 (1910), 305-314.
Janowski, W., Some extremal problems for certain families of analytic Functions I, Ann. Polon. Math. 28 (1973), 297-326.
Kac, V. and Cheung, P., Quantum calculus, Springer, 2002.
Salagean, G. S., Subclass of univalent functions, Complex Analysis-Fifth Romanian Finish Seminar, Bucharest, 1 (1998), 362-372.

Yıl 2019, Cilt: 68 Sayı: 2, 1647 - 1652, 01.08.2019

Asena Çetinkaya

https://doi.org/10.31801/cfsuasmas.420820

Öz

Kaynakça

Andrews, G. E., Applications of basic hypergeometric functions, SIAM Rev. 16 (1974), 441-484.
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.
Gasper, G. and Rahman, M., Basic hypergeometric series, Cambridge University Press, 2004.
Goodman, A. W., Univalent functions, Volume I and Volume II, Mariner Pub. Co. Inc. Tampa Florida, 1984.
Jackson, F. H., On q- functions and a certain difference operator, Trans. Royal Soc. Edinburgh, 46 (1909), 253-281.
Jackson, F. H., q- difference equations, Amer. J. Math. 32 (1910), 305-314.
Janowski, W., Some extremal problems for certain families of analytic Functions I, Ann. Polon. Math. 28 (1973), 297-326.
Kac, V. and Cheung, P., Quantum calculus, Springer, 2002.
Salagean, G. S., Subclass of univalent functions, Complex Analysis-Fifth Romanian Finish Seminar, Bucharest, 1 (1998), 362-372.

Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Konular	Matematik
Bölüm	Makaleler
Yazarlar	Asena Çetinkaya 0000-0002-8815-5642
Yayımlanma Tarihi	1 Ağustos 2019
Gönderilme Tarihi	3 Mayıs 2018
Kabul Tarihi	16 Kasım 2018
Yayımlandığı Sayı	Yıl 2019 Cilt: 68 Sayı: 2

Kaynak Göster

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	Çetinkaya A. Convolution Properties for Salagean-type Analytic Functions Defined by q- Difference Operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Ağustos 2019;68(2):1647-1652. doi:10.31801/cfsuasmas.420820
Chicago	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, sy. 2 (Ağustos 2019): 1647-52. https://doi.org/10.31801/cfsuasmas.420820.
EndNote	Çetinkaya A (01 Ağustos 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	A. Çetinkaya, “Convolution Properties for Salagean-type Analytic Functions Defined by q- Difference Operator”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 68, sy. 2, ss. 1647–1652, 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 (Ağustos 2019), 1647-1652. https://doi.org/10.31801/cfsuasmas.420820.
JAMA	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, c. 68, sy. 2, 2019, ss. 1647-52, doi:10.31801/cfsuasmas.420820.
Vancouver	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):1647-52.