TAILIEUCHUNG - Bounds for the second Hankel determinant of certain bi-univalent functions

We investigate the second Hankel determinant inequalities for a certain class of analytic and bi-univalent functions. Some interesting applications of the results presented here are also discussed. | Turk J Math (2016) 40: 679 – 687 ¨ ITAK ˙ c TUB ⃝ Turkish Journal of Mathematics doi: Research Article Bounds for the second Hankel determinant of certain bi-univalent functions Halit ORHAN1,∗, Nanjundan MAGESH2 , Jagadeesan YAMINI3 Department of Mathematics, Faculty of Science, Atat¨ urk University, Erzurum, Turkey 2 Post-Graduate and Research Department of Mathematics, Government Arts College for Men Krishnagiri, Tamil Nadu, India 3 Department of Mathematics, Government First, Grade College, Vijayanagar, Bangalore, Karnataka, India 1 • Received: Accepted/Published Online: • Final Version: Abstract: We investigate the second Hankel determinant inequalities for a certain class of analytic and bi-univalent functions. Some interesting applications of the results presented here are also discussed. Key words: Bi-univalent functions, bi-starlike, bi-Bˇ azileviˇc, second Hankel determinant 1. Introduction Let A denote the class of functions of the form f (z) = z + ∞ ∑ an z n , () n=2 which are analytic in the open unit disk U = {z : z ∈ C and

• Toán học
• Bi univalent functions
• Bi starlike
• Bi Bazilevic
• Second Hankel determinant
• Convex functions
• P valent
• P valently colse to convex functions
• P valently starlike functions
• P valently convex functions
• Open unit disk
• Geometric function
• Analytic functions
• Bi close to convex functions
• Faber polynomials
• Coefficient estimates
• Creating new problems
• Concave functions
• Tangent inequality
• Maximum value
• Minimum value
• Ostrowski type inequalities
• Holder’s inequality
• Absolute values
• Bounded derivatives
• q subharmonicity
• q convex domains in Cn
• q plurisubharmonic functions
• Subharmonic functions
• Applications to q convexity
• Convex function
• Prove inequality
• Extreme problem
• Functional perspective
• Convex analysis
• Bài viết nghiên cứu khoa học
• Univalent functions
• Starlike functions
• Integral operators
• Natural science
• tài liệu báo cáo nghiên cứu khoa học
• cách trình bày báo cáo
• kiến thức toán học
• báo cáo toán học
• các báo cáo toán học hay
• báo cáo khoa học
• báo cáo hóa học
• công trình nghiên cứu về hóa học
• tài liệu về hóa học
• Hadamard’s inequality
• Integral inequalities
• Mathematical analysis
• M Convex function
• Jensen inequality
• Fejer inequality
• Hermite–Hadamard inequality
• Real numbers containing the zero
• Multivalent harmonic functions
• Distortion theorem
• Growth theorem
• M valent Janowski
• Harmonic functions
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