Atıf İçin Kopyala
Guldogan E., AKTAŞ R., Area I.
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, cilt.31, sa.6, ss.437-470, 2020 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
31
Sayı:
6
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Basım Tarihi:
2020
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Doi Numarası:
10.1080/10652469.2019.1700411
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Dergi Adı:
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, Civil Engineering Abstracts
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Sayfa Sayıları:
ss.437-470
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Anahtar Kelimeler:
Bivariate orthogonal functions, Jacobi polynomials, Laguerre polynomials, Fourier transform, Parseval identity, hypergeometric functions, recurrence relation, FINITE CLASSES, NUMERICAL IMPROVEMENT, HYPERGEOMETRIC TYPE, ERROR-BOUNDS, JACOBI, EQUATIONS
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Ankara Üniversitesi Adresli:
Evet
Özet
In this paper some new classes of two-variable orthogonal functions by using Fourier transforms of two-variable orthogonal polynomials are introduced. Orthogonality relations are obtained by using the Parseval identity. Recurrence relations for new families of orthogonal functions are also presented.