Publication Cover
Applicable Analysis
An International Journal
Volume 28, 1988 - Issue 4
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Original Articles

A theorem concerning differentiability of eigenvectors and eigenvales with some applications

Pages 257-283 | Received 19 Oct 1987, Published online: 10 May 2007

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Read on this site (6)

P.D. Siafarikas, I.D. Stabolas & L. Velázquez. (2005) Differential inequalities of functions involving the lowest zero of some associated orthogonal q-polynomials. Integral Transforms and Special Functions 16:4, pages 337-376.
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Eugenia N. Petropoulou, Panayiotis D. Siafarikas & Ioannis D. Stabolas. (2005) Convexity results for the largest zero and functions involving the largest zero of q-associated polynomials. Integral Transforms and Special Functions 16:2, pages 171-178.
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E.K. Ifantis & K.N. Vlachou. (2000) Some results, concerning the variation of eigenvalues, when these depend on a real parameter. Applicable Analysis 74:1-2, pages 113-125.
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C.G. Kokologiannaki & P.D. Siafarikas. (1996) Convexity of the largest zero of the ultraspherical polynomials. Integral Transforms and Special Functions 4:3, pages 275-278.
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Evangelos K. Ifantis. (1992) Perron-frobenius-type theorems for tridiagonal operators. Applicable Analysis 44:3-4, pages 159-169.
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Evangelos K. Ifantis. (1991) Concavity and convexity of eigenvalues. Applicable Analysis 41:1-4, pages 209-220.
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Articles from other publishers (7)

Donny Cheung, Peter Høyer & Nathan Wiebe. (2011) Improved error bounds for the adiabatic approximation. Journal of Physics A: Mathematical and Theoretical 44:41, pages 415302.
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M.J. Cantero, L. Moral & L. Velázquez. (2005) Minimal representations of unitary operators and orthogonal polynomials on the unit circle. Linear Algebra and its Applications 408, pages 40-65.
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Dimitar K. Dimitrov. (2003) Convexity of the extreme zeros of Gegenbauer and Laguerre polynomials. Journal of Computational and Applied Mathematics 153:1-2, pages 171-180.
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M.J. Cantero, L. Moral & L. Velázquez. (2003) Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle. Linear Algebra and its Applications 362, pages 29-56.
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C. G. Kokologiannaki, P. D. Siafarikas & J. D. Stabolas. 2003. Nonlinear Analysis and Applications: To V. Lakshmikantham on his 80th Birthday. Nonlinear Analysis and Applications: To V. Lakshmikantham on his 80th Birthday 671 726 .
E.K. Ifantis & P.D. Siafarikas. (1995) Perturbation of the coefficients in the recurrence relation of a class of polynomials. Journal of Computational and Applied Mathematics 57:1-2, pages 163-170.
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E. K. Ifantis & P. N. Panagopoulos. (1990) Applications of the differentiability of eigenvectors and eigenvalues to a perturbed harmonic oscillator. Journal of Mathematical Physics 31:10, pages 2410-2413.
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