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On basic Horn hypergeometric functions H 3 $\mathbf{H}_{3}$ and H 4 $\mathbf{H}_{4}$ [PDF]
Advances in Difference Equations, 2020 The purpose of this work is to demonstrate several interesting contiguous function relations and q-differential formulas for basic Horn hypergeometric functions H 3 $\mathbf{H}_{3}$ and H 4 $\mathbf{H}_{4}$ .
Ayman Shehata
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Branched Continued Fraction Expansions of Horn’s Hypergeometric Function H3 Ratios [PDF]
Mathematics, 2021 The paper deals with the problem of construction and investigation of branched continued fraction expansions of special functions of several variables. We give some recurrence relations of Horn hypergeometric functions H3. By these relations the branched
Tamara Antonova +2 more
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Three- and four-term recurrence relations for Horn's hypergeometric function $H_4$
Researches in Mathematics, 2022 Three- and four-term recurrence relations for hypergeometric functions of the second order (such as hypergeometric functions of Appell, Horn, etc.) are the starting point for constructing branched continued fraction expansions of the ratios of these ...
R.I. Dmytryshyn, I.-A.V. Lutsiv
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Computer Physics Communications, 2014 HYPERDIRE is a project devoted to the creation of a set of Mathematica-based programs for the differential reduction of hypergeometric functions. The current version allows for manipulations involving the full set of Horn-type hypergeometric functions of
Bytev, V., Kniehl, B.
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Derivatives of any Horn-type hypergeometric functions with respect to their parameters
Nuclear Physics B, 2020 We consider the derivatives of Horn hypergeometric functions of any number of variables with respect to their parameters. The derivative of such a function of n variables is expressed as a Horn hypergeometric series of n+1 infinite summations depending ...
Vladimir V. Bytev, Bernd A. Kniehl
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Derivatives of Horn-type hypergeometric functions with respect to their parameters [PDF]
, 2017 We consider the derivatives of Horn hypergeometric functions of any number variables with respect to their parameters. The derivative of the function in $n$ variables is expressed as a Horn hypergeometric series of $n+1$ infinite summations depending on ...
Bytev, V., Kniehl, B., Moch, S.
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On q-Horn Hypergeometric Functions H6 and H7
Axioms, 2021 This work aims to construct various properties for basic Horn functions H6 and H7 under conditions on the numerator and denominator parameters, such as several q-contiguous function relations, q-differential relations, and q-differential equations ...
Ayman Shehata
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Математичні СтудіїIn this paper, we consider some numerical aspects of branched continued fractions as special families of functions to represent and expand analytical functions of several complex variables, including generalizations of hypergeometric functions.
R. Dmytryshyn +3 more
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Some Formulas for Horn's Hypergeometric Function G B of Three Variables
Advances in Mathematical Physics, 2022 أنشأ أغاروال وآخرون. (2021) تمديد العديد من العلاقات الأساسية المتجاورة لـ جي بي . هدفنا في هذا العمل هو التحقيق في العديد من خصائص صيغ التمايز، والمعادلات التفاضلية، وعلاقات التكرار، وعلاقات التكرار التفاضلية، وصيغ الالتقاء، وتمثيلات المتسلسلات، وصيغ التكامل، والجمع اللانهائي لدالة هورن للهندسة الفائقة GB لثلاثة متغيرات.
Ayman Shehata +3 more
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Recursion formulas for H1-H7 horn hypergeometric functions
Publications de l'Institut Mathematique, 2023 We derive the recursion formulas for Horn hypergeometric functions H1 to H7. These recursion formulas help us write these functions as a combination of themselves.
Yadav, Sarasvati, Rani, Geeta
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