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Dergiler / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2020 / Cilt: 10 - Sayı: 3

AN APPLICATION OF (p, q)-CALCULUS IN HARMONIC UNIVALENT FUNCTIONS

Poonam SHARMA
Omendra MISHRA
Saurabh PORWAL
Sayfa
751–760
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Several known results may be derived as special cases of our main results.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The main aim of this paper is to define a (p, q)-multiplier transformation for harmonic functions.
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Temel Bulgular & Veri:Using that we obtain coefficient inequality, extreme points, distortion theorem and covering results for the new subclass of harmonic functions.
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Sonuç & Katkı:Several known results may be derived as special cases of our main results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Özet

The main aim of this paper is to define a (p, q)-multiplier transformation for harmonic functions. Using that we obtain coefficient inequality, extreme points, distortion theorem and covering results for the new subclass of harmonic functions. Several known results may be derived as special cases of our main results.

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Bu Makaleye Atıf Yap

SHARMA, P., MISHRA, O., PORWAL, S. (2020). AN APPLICATION OF (p, q)-CALCULUS IN HARMONIC UNIVALENT FUNCTIONS. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, Cilt: 10 - Sayı: 3, 751–760. https://ajindex.com/articles/327591

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Kaynakça (9)

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  3. Bayram H., and Yal¸cın S., (2017), A subclass of harmonic univalent functions defined by a linear operator, Palest. J. Math. 6, Special Issue II, pp. 320–326
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  5. Cho N., and Srivastava H., (2003), Argument estimates of certain analytic functions defined by a class of multiplier transformations, Math. Comput. Modelling 37, no. 1-2, pp. 39–49
  6. Duren P., Hengartner W., andLaugesen R., (1996), The argument principle for harmonic functions, Amer. Math. Monthly 103, no. 5, pp. 411–415
  7. Jackson F., (1910), On q-difference integrals, Q. J. Pure Appl. Math. 41, pp. 193-203
  8. Jahangiri J., (2018), Harmonic univalent functions defined by q-calculus operator, International journal of Mathematical analysis and applications. 5(2), pp. 39-43
  9. Porwal S., and Gupta A., (2018), An application of q-calculus to harmonic univalent functions, JQMA 14, (1), pp. 81-90.