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Dergiler / TWMS Journal of Applied and Engineering Mathematics / 2026 / Volume: 8 Issue: 1.1

q-STARLIKE FUNCTIONS OF ORDER ALPHA

Y. Polatoğlu(Department of Mathematics and Computer Sciences, Istanbul K¨ult¨ur University, Istanbul.)
F. Uçar(Department of Mathematics, Marmara University, Istanbul.)
B. Yılmaz(Department of Mathematics, Marmara University, Istanbul.)
Sayfa
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Yayın Tarihi
2018-09-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 .

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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 .
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Temel Bulgular & Veri: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 .
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Sonuç & Katkı: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 .
🔬Tür:Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:q-starlike functions · distortion theorem · growth theorem

Abstract

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 .

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Bu Makaleye Atıf Yap

Polatoğlu, Y., Uçar, F., Yılmaz, B. (2018). q-STARLIKE FUNCTIONS OF ORDER ALPHA. TWMS Journal of Applied and Engineering Mathematics, Volume: 8 Issue: 1.1. https://ajindex.com/articles/1604501

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Kaynakça (9)

  1. Goodman, A.W., (1983) Univalent functions. Vol. I, Mariner Publishing Co., Inc., Tampa, FL, 1983. MR 704183.
  2. Janowski, W., (1973) Some extremal problems for certain families of analytic functions, I. Ann. Polon. Math., 28, pp. 297-326.
  3. Kac, V. and Cheung, P., (2001) Quantum Calculus, Springer, doi: 10.1007/978-1-4613-0071-7.
  4. 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).
  5. Jackson, F.H., (1910) q-Difference equations, American Journal of Mathematics 32 (4), pp. 305-314.
  6. 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.
  7. 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.
  8. 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.
  9. 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.