Disproof of an inclusion relation of classes related to spirallike functions

• Autorzy: Al-Oboudi F. M. , Hidan M. M.
• Języki publikacji: EN

Abstrakty

EN

An inclusion relation between classes of functions, defined by Ruscheweyh derivative and related to spirallike functions, given by S.S. Bhoosnurmath and M. V. Devadas [2] is disproved and some new results are given.

Słowa kluczowe

EN

Ruscheweyh derivative; convolution; spirallike

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 2
• Strony: 267--271
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Al-Oboudi F. M.

• Mathematics Department, Girls College of Education, Science Sections, Sitteen Street, Malaz, Riyadh, Saudi Arabia

autor

Hidan M. M.

• Mathematics Department, Girls College of Education, Science Sections, Sitteen Street, Malaz, Riyadh, Saudi Arabia

Bibliografia

• [1] H. Al-Amiri, On Ruscheweyh derivative, Ann. Polon. Math. 38 (1980), 87-94.
• [2] S. Bhoosnurmath and M. Devads, Subclasses of spirallike functions defined by Ruscheweyh derivatives, Tamkang J. Math. 28 (1997), 59-66.
• [3] Dashrath and S. Shukla, Coefficient estimates for a subclass of spirallike functions, Indian J.Pure Appl. Math. 14 (1983), 431-439.
• [4] I. Janowski, Some extremal problems for certain families of analytic functions I, Ann. Polon. Math. 28 (1973), 298-326.
• [5] M. Robertson, Univalent functions f(z) for which zf'(z) is spirallike, Mich. Math. J. 16 (1969), 97-101.
• [6] L. Špaček, Contribution à la théorie des fonctions univalentes, Časopis Pěst. Mat.-Fys. 62 (1932), 12-19.
• [7] V. Kumar and S. Shukla, Radii of spirallikeness of certain analytic functions, Tamkang J. Math 17 (1986), 51-58.