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The following pages link to Some formulas for the Appell function<i>F</i><sub>1</sub>(<i>a, b, b</i>′;<i>c; w, z</i>) (Q3144967):
Displaying 33 items.
- Chi-square mixture representations for the distribution of the scalar Schur complement in a noncentral Wishart matrix (Q286465) (← links)
- Jacobi-type differential relations for the Lauricella function \(F_D^{(N)}\) (Q325541) (← links)
- Some properties of multiple hypergeometric functions and applications in the probability theory (Q2095880) (← links)
- Multiple hypergeometric functions in communication theory: Evaluations of error probabilities for four-parameter, \( \kappa{-}\mu\) and \(\eta{-}\mu\) signals distributions in general fading channels (Q2095894) (← links)
- On several unified reduction formulas for the Humbert function \(\Phi_2\) with applications (Q2293224) (← links)
- Analytic continuation formulas and Jacobi-type relations for Lauricella function (Q2631192) (← links)
- Contiguous relations for the Fox-Wright function (Q2633732) (← links)
- A new generalization of Pochhammer symbol and its applications (Q2690704) (← links)
- Infinite summation formulas of double hypergeometric functions (Q2812114) (← links)
- The Feynman integral in ℝ<sup>1</sup>⊕ ℝ<sup><i>m</i></sup>and complex expansion of<sub>2</sub><i>F</i><sub>1</sub> (Q2816496) (← links)
- On some formulas for the Appell function<i>F</i><sub>2</sub>(<i>a, b, b</i>′;<i>c, c</i>′;<i>w; z</i>) (Q2874109) (← links)
- Reduction formulas for the Appell and Humbert functions (Q2968807) (← links)
- Finite summation formulas of double hypergeometric functions (Q2968825) (← links)
- On some formulas for the Horn functions <i>H</i><sub>3</sub> (<i>a, b; c; w, z</i>), (<i>a; c; w, z</i>) and Humbert function Φ<sub>3</sub>(<i>b; c; w, z</i>) (Q3383781) (← links)
- ON SOME FORMULAS FOR THE GENERALIZED APPELL TYPE FUNCTIONS (Q4605411) (← links)
- On some formulas for the Horn function <i>H</i><sub>2</sub> (<i>a, ,b, ,c, ,c′; d; w, z</i>) and confluent Horn function (<i>a, b, c; d; w, z</i>) (Q4959458) (← links)
- On some formulas for the Horn functions <i>G</i><sub>1</sub> (<i>a</i>, <i>b</i>, <i>b</i>′;<i>w</i>, <i>z</i>) and Γ<sub>2</sub> (<i>b</i>, <i>b</i>′;<i>w</i>, <i>z</i>) (Q4987028) (← links)
- On some formulas for the Horn functions <i>G</i><sub>2</sub> (<i>a, a′, b, b′</i>; <i>w, z</i>), <i>G</i><sub>3</sub> (<i>a, a′</i>; <i>w, z</i>) and Γ<sub>1</sub> (<i>a, b, b′</i>; <i>w, z</i>) (Q4987034) (← links)
- On some formulas for the Horn functions <i>H</i><sub>1</sub>(<i>a,b,c;d;w,z</i>) and <i>H</i><sub>1</sub><sup>(<i>c</i>)</sup>(<i>a,b;d;w,z</i>) (Q4987896) (← links)
- On some formulas for the Horn functions <i>H</i><sub>4</sub>(<i>a, b; c, c′;w, z</i>) and <i>H</i><sub>7</sub><sup>(<i>c</i>)</sup> (<i>a; c, c′;w, z</i>) (Q5019210) (← links)
- (Q5040933) (← links)
- Some results on the telegraph process driven by gamma components (Q5055329) (← links)
- Some results on the first Appell matrix function<i>F</i><sub>1</sub>(<i>A</i>,<i>B</i>,<i>B</i>′,<i>C</i>;<i>z</i>,<i>w</i>) (Q5210718) (← links)
- On new reduction formulas for the Humbert functions Ψ<sub>2</sub>, Φ<sub>2</sub>and Φ<sub>3</sub> (Q5269320) (← links)
- On integral representations and asymptotics of some hypergeometric functions in two variables (Q5374300) (← links)
- The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications (Q5377343) (← links)
- Further investigations on the two variables second Appell hypergeometric matrix function (Q6046023) (← links)
- Euler-type integral representations for the Kampé de Fériet functions (Q6152065) (← links)
- The Beta‐Pochhammer and its application to arbitrary threshold phase error probability of a vector in Gaussian noise (Q6185454) (← links)
- Infinite summation formulas for triple Lauricella hypergeometric functions (Q6187941) (← links)
- A note on the Appell hypergeometric matrix function \(F_2\) (Q6534547) (← links)
- Some infinite expansions of the Lauricella functions and their application in the study of fundamental solutions of a singular elliptic equation (Q6586763) (← links)
- Generalizations of the Jacobi identity to the case of the Lauricella function FD(N) (Q6593048) (← links)