Fourth Hankel and Toeplitz determinants for a subclass of analytic functions subordinate to 1+sin(z)

• Autorzy: Ganesh Koride , Rayaprolu Bharavi Sharma , Saroja Kasula , Yakaiah Koneti

Identyfikatory

DOI

10.14708/ma.v51i2.7238

Warianty tytułu

PL

Wyznaczniki Hankela i Toeplitza czwartego rzędu dla podklasy funkcji analitycznych podporządkowanych 1 + sin z

• Języki publikacji: EN

Abstrakty

EN

The purpose of the present paper is to determine the coefficient bounds, fourth Hankel determinants, Toeplitz determinants for the function f in a subclass of analytic functions subordinate to 1+sin(z). We also study the Fekete-Szegö inequality and Zalcman conjecture for functions in this class.

PL

Celem tego badania jest ustalenie oszacowań współczynników wyznaczników Hankela czwartego rzędu oraz wyznaczników Toeplitza dla funkcji należących do podklasy funkcji analitycznych podporządkowanych wyrażeniu 1 + sin z. Dodatkowo, analizujemy nierówność Fekete-Szegő-Szegő oraz hipotezę Zalcmana dla funkcji w tejże klasie.

Słowa kluczowe

EN

Holomorphic function; Convex function; Starlike function; Subordination; Hankel determinants; Toeplitz determinants

PL

funkcja holomorficzna; funkcja wypukła; funkcja jednolistna; funkcja gwiaździsta; podporządkowanie; wyznacznik Hankela; wyznaczniki Toeplitza

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Mathematica Applicanda
• Rocznik: 2023
• Tom: Vol. 51, no. 2
• Strony: 321--338
• Opis fizyczny: Bibliogr. 29 poz., rys.

Twórcy

autor

Ganesh Koride

• Jyothishmathi Institute of Technology and Science Karimnagar, Telangana, 505527, INDIA

• https://orcid.org/0009-0009-7354-0378+

autor

Rayaprolu Bharavi Sharma

• Kakatiya University Department of Mathematics, Warangal, Telangana 506001, INDIA

• https://orcid.org/0000-0003-2814-9774

autor

Saroja Kasula

• Govt. Degree College for Women Gajwel, Siddipet, Telangana 506001, INDIA

• https://orcid.org/0009-0005-7706-4648+

autor

Yakaiah Koneti

• Mallareddy Engineering College for Women Maisammaguda, Dhulapally(post) Kompally, Secunderabad, Telangana 500100, INDIA

• https://orcid.org/0000-0002-5203-6094+

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).