منابع مشابه
Horadam Polynomials Estimates for $lambda$-Pseudo-Starlike Bi-Univalent Functions
In the present investigation, we use the Horadam Polynomials to establish upper bounds for the second and third coefficients of functions belongs to a new subclass of analytic and $lambda$-pseudo-starlike bi-univalent functions defined in the open unit disk $U$. Also, we discuss Fekete-Szeg$ddot{o}$ problem for functions belongs to this subclass.
متن کاملCoefficient Estimates for a General Subclass of m-fold Symmetric Bi-univalent Functions by Using Faber Polynomials
In the present paper, we introduce a new subclass H∑m (λ,β)of the m-fold symmetric bi-univalent functions. Also, we find the estimates of the Taylor-Maclaurin initial coefficients |am+1| , |a2m+1| and general coefficients |amk+1| (k ≥ 2) for functions in this new subclass. The results presented in this paper would generalize and improve some recent works of several earlier authors.
متن کاملLocal Estimates for Jacobi Polynomials
It is shown that if α, β ≥ − 12 , then the orthonormal Jacobi polynomials p (α,β) n fulfill the local estimate |p n (t)| ≤ C(α, β) ( √ 1− x+ 1 n ) α+ 2 ( √ 1 + x+ 1 n ) β+ 2 for all t ∈ Un(x) and each x ∈ [−1, 1], where Un(x) are subintervals of [−1, 1] defined by Un(x) = [x− φn(x) n , x+ φn(x) n ]∩[−1, 1] for n ∈ N and x ∈ [−1, 1] with φn(x) = √ 1− x2+ 1 n . Applications of the local estimate ...
متن کاملEstimates for Jacobi-sobolev Type Orthogonal Polynomials
Let the Sobolev-type inner product 〈f, g〉 = ∫
متن کاملEstimates for Norms of Random Polynomials
This paper contains some estimates for the integral-uniform norm and the uniform norm of a wide class of random polynomials. The family of integraluniform norms introduced in [6] is a natural generalization of the maximum norm taken over a net. We prove some properties of the integral-uniform norms. The given application of the established estimates demonstrates that the integral-uniform norms ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1995
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700014957