【摘要】 马欣荣建立了迄今为止广泛的一对反演公式(f,g)-反演,它完全取决于所给的一对函数f,g是否满足函数方程g(a,b)f(x,c)-g(a,c)f(x,b)+g(b,c)f(x,a)=0。本文就f,g为多项式和无穷级数时给出了上述方程的通解。更多还原

【Abstract】 The main purpose of the present paper is to find the explicit expressions of f and g such that g(a,b)f(x,c)-g(a,c)f(x,b)+g(b,c)f(x,a)=0.with the assumption that f and g are polynomials or infinite series.As we will see later,such a pair of functions f and g always leads us to the(f,g)-inversion due to Ma[1] which is of value to the basic hypergeometric series.更多还原