BibTex RIS Kaynak Göster

q-STARLIKE FUNCTIONS OF ORDER ALPHA

Yıl 2018, Cilt: 8 Sayı: 1.1, 186 - 192, 01.09.2018

Öz

For all q 2 0; 1 and 0  < 1 we de ne a class of analytic functions, so-called q-starlike functions of order on the open unit disc D = fz : jzj < 1g : We will study this class of functions and explore some inclusion properties with the well-known class Starlike functions of order .

Kaynakça

  • Goodman, A.W., (1983) Univalent functions. Vol. I, Mariner Publishing Co., Inc., Tampa, FL, 1983. MR 704183.
  • Janowski, W., (1973) Some extremal problems for certain families of analytic functions, I. Ann. Polon. Math., 28, pp. 297-326.
  • Kac, V. and Cheung, P., (2001) Quantum Calculus, Springer, doi: 10.1007/978-1-4613-0071-7.
  • Polato˘glu, Y., ¨Ozkan, H.E., Aydo˘gan, M. and S¸en, A.Y., (2015) Distortion and growth theorems for q-Starlike functions, Rocky Mountain Journal, (submitted).
  • Jackson, F.H., (1910) q-Difference equations, American Journal of Mathematics 32 (4), pp. 305-314.
  • Purohit, S.D. and Raina, R.K., (2011) Certain subclass of analytic functions associated with fractional q-calculus operators, Mathematica Scandinavica, 109(1), pp. 55-70.
  • Purohit, S.D., (2012) A new class of multivalently analytic functions associated with fractional q- calculus operators, Fractional Differential Calculus, 2(2), pp. 129-138.
  • Purohit, S.D. and Raina, R.K., (2013) Fractional q-calculus and certain subclass of univalent analytic functions, Mathematica (Cluj), 55(78), pp. 62-74.
  • Purohit, S.D. and Raina, R.K., (2014) Some classes of analytic and multivalent functions associated with q-derivative operators, Acta Universitatis Sapientiae, Mathematica, 6(1), pp. 5-23.
Yıl 2018, Cilt: 8 Sayı: 1.1, 186 - 192, 01.09.2018

Öz

Kaynakça

  • Goodman, A.W., (1983) Univalent functions. Vol. I, Mariner Publishing Co., Inc., Tampa, FL, 1983. MR 704183.
  • Janowski, W., (1973) Some extremal problems for certain families of analytic functions, I. Ann. Polon. Math., 28, pp. 297-326.
  • Kac, V. and Cheung, P., (2001) Quantum Calculus, Springer, doi: 10.1007/978-1-4613-0071-7.
  • Polato˘glu, Y., ¨Ozkan, H.E., Aydo˘gan, M. and S¸en, A.Y., (2015) Distortion and growth theorems for q-Starlike functions, Rocky Mountain Journal, (submitted).
  • Jackson, F.H., (1910) q-Difference equations, American Journal of Mathematics 32 (4), pp. 305-314.
  • Purohit, S.D. and Raina, R.K., (2011) Certain subclass of analytic functions associated with fractional q-calculus operators, Mathematica Scandinavica, 109(1), pp. 55-70.
  • Purohit, S.D., (2012) A new class of multivalently analytic functions associated with fractional q- calculus operators, Fractional Differential Calculus, 2(2), pp. 129-138.
  • Purohit, S.D. and Raina, R.K., (2013) Fractional q-calculus and certain subclass of univalent analytic functions, Mathematica (Cluj), 55(78), pp. 62-74.
  • Purohit, S.D. and Raina, R.K., (2014) Some classes of analytic and multivalent functions associated with q-derivative operators, Acta Universitatis Sapientiae, Mathematica, 6(1), pp. 5-23.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Y. Polatoğlu Bu kişi benim

F. Uçar Bu kişi benim

B. Yılmaz Bu kişi benim

Yayımlanma Tarihi 1 Eylül 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 8 Sayı: 1.1

Kaynak Göster