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International Journal of Computer Mathematics Volume 51, 1994 - Issue 1-2
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Original Articles

The first and second kind chebyshev coefficients of the moments for the general order derivative on an infinitely differentiable function

E. H. Doha Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
Pages 21-35 | Received 27 Jan 1993, Published online: 19 Mar 2007

Citations (36)

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Read on this site (3)

E. H. Doha. (2004) On the connection coefficients and recurrence relations arising from expansions in series of hermite polynomials . Integral Transforms and Special Functions 15:1, pages 13-29.
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H.M. El-Hawary, M.S. Salim & H.S. Hussien. (2000) An optimal ultraspherical approximation of integrals. International Journal of Computer Mathematics 76:2, pages 219-237.
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E. H. Doha & S. I. El-Soubhy. (1995) On the legendre coefficients of the moments of the general order derivative of an infinitely differentiable function. International Journal of Computer Mathematics 56:1-2, pages 107-122.
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Articles from other publishers (33)

Mohamed Illafe, Maisarah Haji Mohd & Shamani Supramaniam. A new construction for a subclass of analytic bi-univalent functions. A new construction for a subclass of analytic bi-univalent functions.
Abbas Kareem Wanas & S. R. Swamy. (2023) Applications of the Second Kind Chebyshev Polynomials of Bi-Starlike and Bi-Convex λ-Pseudo Functions Associated with Sakaguchi Type Functions. Earthline Journal of Mathematical Sciences, pages 497-507.
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M. K. Aouf, A. O. Mostafa & F. Y. Al-Quhali. (2023) Coefficient bounds for a subclass of univalent functions of complex order associated with Chebyshev polynomials defined by $$q-$$ derivative operator. Afrika Matematika 34:3.
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Mahmoud A. Zaky, Howayda Abo-Gabal, Ramy M. Hafez & Eid H. Doha. (2021) Computational and theoretical aspects of Romanovski-Bessel polynomials and their applications in spectral approximations. Numerical Algorithms 89:4, pages 1567-1601.
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Sh. Najafzadeh & Z. Salleh. (2022) Univalent Functions by Means of Chebyshev Polynomials. Journal of Function Spaces 2022, pages 1-8.
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Murat Çağlar, Halit Orhan & Muhammet Kamali. (2022) Fekete-Szegö problem for a subclass of analytic functions associated with Chebyshev polynomials. Boletim da Sociedade Paranaense de Matemática 40, pages 1-6.
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F. Müge Sakar & Ertuğrul Doğan. 2022. Mathematical, Computational Intelligence and Engineering Approaches for Tourism, Agriculture and Healthcare. Mathematical, Computational Intelligence and Engineering Approaches for Tourism, Agriculture and Healthcare 99 109 .
Shahram Najafzadeh & Mugur Acu. (2021) On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions. Journal of Function Spaces 2021, pages 1-5.
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Ala Amourah, Tariq Al-Hawary & B. A. Frasin. (2021) Application of Chebyshev polynomials to certain class of bi-Bazilevič functions of order $$\alpha +i\beta $$. Afrika Matematika 32:5-6, pages 1059-1066.
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Munirah Rossdy, Rashidah Omar & Shaharuddin Cik Soh. (2021) Coefficient problems of bi-univalent functions with respect to symmetric and symmetric conjugate points defined by the Al-Oboudi operator. Journal of Physics: Conference Series 1988:1, pages 012076.
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Sarah A AL-Ameedee, Waggas Galib Atshan & Faez Ali AL-Maamori. (2020) Second Hankel Determinant for Certain Subclasses of Bi-univalent functions. Journal of Physics: Conference Series 1664:1, pages 012044.
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Howayda Abo‐Gabal, Mahmoud A. Zaky, Ramy M. Hafez & Eid H. Doha. (2020) On Romanovski–Jacobi polynomials and their related approximation results. Numerical Methods for Partial Differential Equations 36:6, pages 1982-2017.
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Şahsene Altınkaya & Sibel Yalçın. (2019) The (p, q)-Chebyshev polynomial bounds of a general bi-univalent function class. Boletín de la Sociedad Matemática Mexicana 26:2, pages 341-348.
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Feras Yousef, Somaia Alroud & Mohamed Illafe. (2019) A comprehensive subclass of bi-univalent functions associated with Chebyshev polynomials of the second kind. Boletín de la Sociedad Matemática Mexicana 26:2, pages 329-339.
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Abbas Kareem Wanas. (2020) Coefficient Estimates of Bi-Starlike and Bi-Convex Functions with Respect to Symmetrical Points Associated with the Second Kind Chebyshev Polynomials. Earthline Journal of Mathematical Sciences, pages 191-198.
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H.Ö. Güney, G. Murugusundaramoorthy, K. Vijaya & K. Thilagavathi. (2020) Coefficient bounds for certain subclasses of bi-prestarlike functions associated with the Chebyshev polynomials. Mathematica Moravica 24:2, pages 71-82.
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Şahsene Altınkaya & Sibel Yalçın. (2019) Chebyshev polynomial bounds for a certain subclass of univalent functions defined by Komatu integral operator. Afrika Matematika 30:3-4, pages 563-570.
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H. Orhan, N. Magesh & V. K. Balaji. (2019) Second Hankel determinant for certain class of bi-univalent functions defined by Chebyshev polynomials. Asian-European Journal of Mathematics 12:02, pages 1950017.
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E.H. Doha & Y.H. Youssri. (2019) On the connection coefficients and recurrence relations arising from expansions in series of modified generalized Laguerre polynomials: Applications on a semi-infinite domain. Nonlinear Engineering 8:1, pages 318-327.
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Ganesh Koride, Bharavi Sharma Rayaprolu & Hari Priya Maroju. Estimation of coefficient bounds for a subclass of analytic functions using Chebyshev polynomials. Estimation of coefficient bounds for a subclass of analytic functions using Chebyshev polynomials.
Ganesh Koride, Bharavi Sharma Rayaprolu & Rajya Laxmi Kalikota. Coefficient bounds for a subclass of univalent functions using Chebyshev polynomial. Coefficient bounds for a subclass of univalent functions using Chebyshev polynomial.
G. Saravanan & K. Muthunagai. 2019. Applied Mathematics and Scientific Computing. Applied Mathematics and Scientific Computing 57 65 .
G. Murugusundaramoorthy, K. Vijaya & H. Ö. Güney. (2018) Certain subclasses of bi-univalent functions associated with the Chebyshev polynomials based on Hohlov operator. Tbilisi Mathematical Journal 11:2.
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Nanjundan Magesh & Serap Bulut. (2017) Chebyshev polynomial coefficient estimates for a class of analytic bi-univalent functions related to pseudo-starlike functions. Afrika Matematika 29:1-2, pages 203-209.
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Hatun Özlem Güney, G. Murugusundaramoorthy & K. Vijaya. (2017) Coefficient Bounds for Subclasses of Biunivalent Functions Associated with the Chebyshev Polynomials. Journal of Complex Analysis 2017, pages 1-7.
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E.H. Doha & W.M. Abd-Elhameed. (2016) New linearization formulae for the products of Chebyshev polynomials of third and fourth kinds. Rocky Mountain Journal of Mathematics 46:2.
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Eid H. DOHA, Waleed M. ABD-ELHAMEED & Mahmoud A. BASSUONY. (2015) On the coefficients of differentiated expansions and derivatives of chebyshev polynomials of the third and fourth kinds. Acta Mathematica Scientia 35:2, pages 326-338.
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H.M. Ahmed & S.I. El-Soubhy. (2008) Recurrences and explicit formulae for the expansion and connection coefficients in series of ordinary Bessel polynomials. Applied Mathematics and Computation 199:2, pages 482-493.
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E H Doha & H M Ahmed. (2004) Recurrences and explicit formulae for the expansion and connection coefficients in series of Bessel polynomials. Journal of Physics A: Mathematical and General 37:33, pages 8045-8063.
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E H Doha. (2004) On the construction of recurrence relations for the expansion and connection coefficients in series of Jacobi polynomials. Journal of Physics A: Mathematical and General 37:3, pages 657-675.
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E H Doha. (2003) On the connection coefficients and recurrence relations arising from expansions in series of Laguerre polynomials. Journal of Physics A: Mathematical and General 36:20, pages 5449-5462.
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E H Doha. (2002) On the coefficients of differentiated expansions and derivatives of Jacobi polynomials. Journal of Physics A: Mathematical and General 35:15, pages 3467-3478.
Crossref
E.H. Doha. (1998) The ultraspherical coefficients of the moments of a general-order derivative of an infinitely differentiable function. Journal of Computational and Applied Mathematics 89:1, pages 53-72.
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