A Survey on the Theory of Integral and Related Operators in Geometric Function Theory

Ahuja O. P., Çetinkaya A.

International Conference on Mathematical Analysis and Computing, ICMAC 2019, Kalavakkam, Hindistan, 23 - 24 Aralık 2019, cilt.344, ss.635-652 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 344
  • Doi Numarası: 10.1007/978-981-33-4646-8_49
  • Basıldığı Şehir: Kalavakkam
  • Basıldığı Ülke: Hindistan
  • Sayfa Sayıları: ss.635-652
  • Anahtar Kelimeler: Analytic functions, Close-to-convex functions, Convex functions, Convolution, Differential operators, Hypergeometric functions, Integral operators, q-derivative operator, q-difference operator, q-integral operator, Quantum calculus, Starlike functions, Univalent functions
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

A brief tour of more than one hundred years of the historical development of some of the popular integral and related operators in Geometric Function Theory (GFT) is given in this article. The strengths and discovery of the methods used in these operators lie in their ability to unify a large number of diverse operators and results. We also address some of the q- analogues of the integral operators in GFT. Since there are several surveys and books in GFT, we present here only a selection of the results related to our precise objectives.