13 citations · 124 across the 29 of their papers we have counts for
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Special functions and reversible three-term recurrence formula (R3TRF)
Yoon Seok Choun
In the previous series "Special functions and three term recurrence formula (3TRF)", I generalize the three term recurrence relation in the linear differential equation for the inf…
The generating functions of Lame equation in Weierstrass's form
Yoon Seok Choun
Lame equation arises from deriving Laplace equation in ellipsoidal coordinates; in other words, it's called ellipsoidal harmonic equation. Lame function is applicable to diverse ar…
Power series and integral forms of Lame equation in Weierstrass's form
Yoon Seok Choun
I consider the power series expansion of Lame function in the Weierstrass's form and its integral forms applying three term recurrence formula[1]. I investigate asymptotic expansio…
Asymptotic behavior of Heun function and its integral formalism
Yoon Seok Choun
The Heun function generalizes all well-known special functions such as Spheroidal Wave, Lame, Mathieu, and hypergeometric functions. Heun functions are applicable to diverse areas…
Lame equation in the algebraic form
Yoon Seok Choun
Lame equation arises from deriving Laplace equation in ellipsoidal coordinates; in other words, it's called ellipsoidal harmonic equation. Lame functions are applicable to diverse…
The analytic solution for the power series expansion of Heun function
Yoon Seok Choun
The Heun function generalizes all well-known special functions such as Spheroidal Wave, Lame, Mathieu, and hypergeometric_2F_1,_1F_1 and_0F_1 functions. Heun functions are applicab…
The power series expansion of Mathieu function and its integral formalism
Yoon Seok Choun
Mathieu ordinary differential equation is of Fuchsian types with the two regular and one irregular singularities. In contrast, Heun equation of Fuchsian types has the four regular…
The integral formalism and the generating function of grand confluent hypergeometric function
Yoon Seok Choun
Biconfluent Heun (BCH) function, a confluent form of Heun function, is the special case of Grand Confluent Hypergeometric (GCH) function: this has a regular singularity at x=0, and…
Analytic solution for grand confluent hypergeometric function
Yoon Seok Choun
In previous paper I construct an approximative solution of the power series expansion in closed forms of Grand Confluent Hypergeometric (GCH) function only up to one term of A_n's…
Generalization of the three-term recurrence formula and its applications
Yoon Seok Choun
The history of linear differential equations is over 350 years. By using Frobenius method and putting the power series expansion into linear differential equations, the recursive r…
Approximative solution of the spin free Hamiltonian involving only scalar potential for the quark-antiquark system
Yoon Seok Choun
In earlier papers [3,4,5,6] Gursey et al. showed development of a bilocal baryon-meson field from two quark-antiquark fields. The Hamiltonian in the case of vanishing quark masses…