Search Results - "Rather, N. A."

On the derivatives of a polynomial with restricted zeros by Bhat, Aijaz, Wani, Naseer, Rather, N. A.

“…In this paper, we establish some generalizations of the upper bound estimates for the modulus of the derivative of a polynomial on the unit disk while…”
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On a refinement of Turán’s inequality by Rather, N. A., Dar, Ishfaq, Iqbal, A.

“…In this paper, we shall obtain some inequalities for the polar derivative of polynomial having all zeros in | z | ≤ k , k ≥ 1 . Our results sharpen some…”
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New Generalizations of Exponential Distribution with Applications by Rather, N. A., Rather, T. A.

“…The main purpose of this paper is to present k-Generalized Exponential Distribution which among other things includes Generalized Exponential and Weibull…”
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Bounds for the zeros of complex-coefficient polynomials by Gulzar, Suhail, Rather, N. A, Thakur, K. A.

“…In this paper, we present certain results on the bounds for the moduli of the zeros of a polynomial with complex coefficients which among other things contain…”
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On the number of zeros of a polynomial in a disk by Rather, N. A., Ali, Liyaqat, Bhat, Aijaz

“…The prime concern of this paper is to obtain bounds concerning the number of zeros of polynomials in a specific region. In this paper, we use a new technique…”
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Inequalities for Rational Functions with Prescribed Poles by Rather, N. A., Iqbal, A., Dar, Ishfaq

“…For rational functions , where is a polynomial of degree at the most and , with we use simple but elegant techniques to strengthen generalizations of certain…”
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Sharpening of Turán-Type Inequality for Polynomials by Rather, N. A., Bhat, A., Shafi, M.

“…For the polynomial of degree n having all its zeros in , , Jain in “On the derivative of a polynomial,” Bull. Math. Soc. Sci. Math. Roumanie Tome 59 , 339–347…”
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On the zeros of certain composite polynomials and an operator preserving inequalities by Rather, N. A., Dar, Ishfaq, Gulzar, Suhail

“…If all the zeros of n th degree polynomials f ( z ) and g ( z ) = ∑ k = 0 n λ k n k z k respectively lie in the cricular regions | z | ≤ r and | z | ≤ s | z -…”
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Zygmund-Type Integral Inequalities for Complex Polynomials by Mir, Abdullah, Rather, N. A., Dar, Ishfaq

“…Let P n be the class of all complex polynomials of degree at most n ,  and let T : P n → P n be a linear operator. We shall say that T is a B n -operator if…”
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Sharpening of Erdős–Lax Inequality for Polynomials by Rather, N. A., Bhat, Aijaz, Shafi, M.

“…In this paper, we establish results concerning the upper bound estimates for the maximum modulus of the derivative of a polynomial on the unit disk. Our…”
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On the zeros of a class of generalized derivatives by Rather, N. A., Iqbal, A., Dar, Ishfaq

“…In this paper, we obtain some results concerning the zeros of a class of generalized derivatives which are analogous to those for the ordinary derivative and…”
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Integral Inequalities for the Growth and Higher Derivative of Polynomials by Rather, N. A., Bhat, A., Shafi, M.

“…Let be a polynomial of degree which does not vanish in , it was proved by S. Gulzar [ 7 ] that for every with , and . In this paper we extend the above result…”
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Gauss Lucas theorem and Bernstein-type inequalities for polynomials by Ali, Liyaqat, Rather, N. A., Gulzar, Suhail

“…According to Gauss-Lucas theorem, every convex set containing all the zeros of a polynomial also contains all its critical points. This result is of central…”
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Computation of the zeros of a quaternionic polynomial using matrix methods by Rather, N. A., Bhat, Tanveer, Dar, Ishfaq, Khan, Bilal, Sama, Arjika

“…AbstractIn a recent paper, Ishfaq Dar (2024), worked on the problem of locating the zeros of quaternion polynomials by introducing various matrix techniques…”
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Some inequalities for polynomials with restricted zeros by Rather, N. A., Dar, Ishfaq, Iqbal, A.

“…By using the boundary Schwarz lemma, it was shown by Dubinin (J Math Sci 143:3069–3076, 2007) that if P ( z ) is a polynomial of degree n having all its zeros…”
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On Visser’s Inequality Concerning an Estimation of Polynomial Coefficients by Gulzar, S., Rather, N. A., Wani, M. S.

“…If P ( z ) = is an n th degree polynomial that has no zeros in the circle | z | < 1, then, as recently has been proven, for any p ∈ [0, +∞] and s = 0, 1, ...,…”
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L p inequalities for the Schur–Szegő composition of polynomials by Gulzar, S., Rather, N. A.

“…Certain sharp Lp inequalities concerning the Schur–Szegő composition of polynomials, which among other things include classical Bernstein-type inequalities…”
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Inequalities Concerning the Polar Derivative of a Polynomial by Gulzar, Suhail, Rather, N. A.

“…In this paper, certain refinements and generalizations of some inequalities concerning the polynomials and their polar derivative are obtained…”
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On a Composition Preserving Inequalities between Polynomials by Gulzar, S., Rather, N. A.

“…The Schur-Szegö composition of two polynomials f ( z ) = ∑ j = 0 n A j z j and g ( z ) = ∑ j = 0 n B j z j , both of degree n , is defined by f ∗ g ( z ) = ∑ j…”
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Growth Estimate for Rational Functions with Prescribed Poles and Restricted Zeros by RATHER, N. A., SHAFI, M., DAR, ISHFAQ

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