Results 81 to 90 of about 664 (120)
Considering the interesting results obtained recently by studying Rabotnov function, in this paper using the normalized Rabotnov function and the concept of subordination related with the Lucas Balancing polynomial, we defined two new subclasses of the ...
Vijaya K. +3 more
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On a subclass of p-valent analytic functions involving fractional q-calculus operators
In this paper, we consider a new subclass of p-valent analytic functions in the open unitdisk involving a fractional q-differeintegral operator. For this subclass of functions,we derive the coefficient inequality and some distortion theorems.
SUNIL DUTT PUROHIT +1 more
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Bounds for Exponential Sums With Random Multiplicative Coefficients
Abstract For $f$ a Rademacher or Steinhaus random multiplicative function, we prove that $ \max _{\theta \in [0,1]} \frac{1}{\sqrt{N}} \bigl | \sum _{n \leq N} f(n) \mathrm{e} (n \theta ) \bigr | \gg \sqrt{\log N}$, asymptotically almost surely as $N \rightarrow \infty $.
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On certain coefficient bounds for multivalent functions
KAMALİ, MUHAMMET, ALTUNTAŞ, Fatma
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ON ESTIMATION OF THE EIGHTH COEFFICIENT OF BOUNDED UNIVALENT FUNCTIONS WITH REAL COEFFICIENTS
Zielinska, Alicja, Zyskowska, Krystyna
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Sidik Rathi, Shaharuddin Cik Soh, Ajab Akbarally
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On the coefficients of functions with bounded boundary rotation.
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Coefficient bounds for p-valent functions
Applied Mathematics and Computation, 2007Sharp bounds for \(|a_{p+2}-\mu a^2_{p+1}|\) and \(|a_{p+3}|\) and \(|a_{p+3}|\) are derived for certain \(p\)-valent analytic functions. These are applied to obtain Fekete-Szegő like inequalities for several classes of functions defined by convolution.
Rosihan M. Ali +2 more
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Bounds on Texture Coefficients
Journal of Applied Mechanics, 2003The orientation distribution function (ODF) is expanded in terms of generalized spherical harmonics and bounds on the resulting texture coefficients are derived. A necessary and sufficient condition for satisfaction of the normalization property of the ODF is also provided. These results are of significance in, for example, microstructural optimization
J. C. Nadeau, M. Ferrari
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NORMAL FUNCTIONS WITH BOUNDED COEFFICIENTS
Analysis, 1983In an earlier work [Proc. Am. Math. Soc. 85, 335-341 (1982; Zbl 0492.30025)] the author had proven that if \(\{a_ n\}\) is a bounded monotone sequence of real numbers, or if \(\sum | a_ n-a_{n-1}|
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