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Browsing by Author "Khrushchev, Sergey"

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    Book Part
    Continued Fractions: Algebra
    (Cambridge Univ Press, 2008) Khrushchev, Sergey; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
    [No Abstract Available]
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    Continued Fractions: Analysis
    (Cambridge Univ Press, 2008) Khrushchev, Sergey; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
    [No Abstract Available]
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    Continued fractions: Euler
    (Cambridge Univ Press, 2008) Khrushchev, Sergey; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
    [No Abstract Available]
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    Continued Fractions: Euler's Influence
    (Cambridge Univ Press, 2008) Khrushchev, Sergey; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
    [No Abstract Available]
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    Citation - WoS: 4
    Continued Fractions: Real Numbers
    (Cambridge Univ Press, 2008) Khrushchev, Sergey; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
    [No Abstract Available]
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    p-fractions
    (Cambridge Univ Press, 2008) Khrushchev, Sergey; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
    [No Abstract Available]
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    Conference Object
    Citation - WoS: 1
    On Euler's differential methods for continued fractions
    (Kent State University, 2006) Khrushchev, Sergey; Mathematics; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
    A differential method discovered by Euler is justified and applied to give simple proofs to formulas relating important continued fractions with Laplace transforms. They include Stieltjes formulas and some Ramanujan formulas. A representation for the remainder of Leibniz's series as a continued fraction is given. We also recover the original Euler's proof for the continued fraction of hyperbolic cotangent.
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    Orthogonal Polynomials
    (Cambridge Univ Press, 2008) Khrushchev, Sergey; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
    [No Abstract Available]
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    Editorial
    Orthogonal Polynomials and Continued Fractions From Euler's Point of View Preface
    (Cambridge Univ Press, 2008) Khrushchev, Sergey; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
    [No Abstract Available]
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    Orthogonal Polynomials on the Unit Circle
    (Cambridge Univ Press, 2008) Khrushchev, Sergey; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
    [No Abstract Available]