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LINEAR COMBINATIONS OF q-STARLIKE FUNCTIONS OF ORDER ALPHA

Yıl 2020, Cilt: 10 Sayı: 1, 201 - 207, 01.01.2020

Öz

In this paper, we introduced a new concept of bounded radius rotation to de ne the class of q-starlike functions of order using the q-derivative, some geometric properties of linear combination of such functions are studied.

Kaynakça

  • Agrawal, S. and Sahoo, S. K., (2014). Geometric properties of basic hypergeometric functions, Difference Equ. Appl., 20(11), pp. 1502-1522.
  • Agrawal, S. and Sahoo, S. K., (2017). A generalization of starlike functions of order alpha, Hokkaido Math. J., 46(1), pp. 15-27.
  • Goodman, A. W., (1983). Univalent Functions, Vol I. Washington, New Jersey: Polygonal Publishing House.
  • Ismail, M. E. H., Merkes, E., Styer, D. (1990). A generalization of starlike functions, Complex Variables, 14, pp. 77-84.
  • Jackson, F. H., (1909). On q-functions and a certain difference operator, Trans. Royal Soc. Edinburgh, 46, pp. 253-281.
  • Noor, K. I. and Noor, M. A., (2017). Linear combinations of generalized q-starlike functions, Appl. Math. Infor. Sci., 11(3), pp. 745-748.
  • Noor, K. I., and Riaz, S., (2017). Generalized q-starlike functions, Studia Scientiarum Mathematicarum Hungarica, 54(4) , pp. 509-522.
  • Raghavendar, K. and Swaminathan, A., (2012). Close-to-convexity of basic hypergeometric functions using their Taylor coefficients, J. Math. Appl., 35 , pp. 111-125.
  • Robertson, M. I., (1936). On the theory of univalent functions, Annals Math., pp. 374-408.
  • Sahoo, S. K. and Sharma, N. L., (2015). On a generalization of close-to-convex functions, Ann. Polon.Math., 113(1), pp. 93-108.
Yıl 2020, Cilt: 10 Sayı: 1, 201 - 207, 01.01.2020

Öz

Kaynakça

  • Agrawal, S. and Sahoo, S. K., (2014). Geometric properties of basic hypergeometric functions, Difference Equ. Appl., 20(11), pp. 1502-1522.
  • Agrawal, S. and Sahoo, S. K., (2017). A generalization of starlike functions of order alpha, Hokkaido Math. J., 46(1), pp. 15-27.
  • Goodman, A. W., (1983). Univalent Functions, Vol I. Washington, New Jersey: Polygonal Publishing House.
  • Ismail, M. E. H., Merkes, E., Styer, D. (1990). A generalization of starlike functions, Complex Variables, 14, pp. 77-84.
  • Jackson, F. H., (1909). On q-functions and a certain difference operator, Trans. Royal Soc. Edinburgh, 46, pp. 253-281.
  • Noor, K. I. and Noor, M. A., (2017). Linear combinations of generalized q-starlike functions, Appl. Math. Infor. Sci., 11(3), pp. 745-748.
  • Noor, K. I., and Riaz, S., (2017). Generalized q-starlike functions, Studia Scientiarum Mathematicarum Hungarica, 54(4) , pp. 509-522.
  • Raghavendar, K. and Swaminathan, A., (2012). Close-to-convexity of basic hypergeometric functions using their Taylor coefficients, J. Math. Appl., 35 , pp. 111-125.
  • Robertson, M. I., (1936). On the theory of univalent functions, Annals Math., pp. 374-408.
  • Sahoo, S. K. and Sharma, N. L., (2015). On a generalization of close-to-convex functions, Ann. Polon.Math., 113(1), pp. 93-108.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

H. Shamsan Bu kişi benim

R. S. A. Qahtan Bu kişi benim

S. Latha Bu kişi benim

Yayımlanma Tarihi 1 Ocak 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 10 Sayı: 1

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