In this paper, by the classical method of Riordan arrays, establish several general involving higher-order Changhee numbers and polynomials, which are related to special polynomials and numbers. From those numbers, we...In this paper, by the classical method of Riordan arrays, establish several general involving higher-order Changhee numbers and polynomials, which are related to special polynomials and numbers. From those numbers, we derive some interesting and new identities.展开更多
The Changhe Aircraft IndustrialCompany under the China AviationIndustrial Corporation is the producerof the Zhi-8 helicopter.Since 1992,thecompany has been in the ranks of the top 500industrial enterprises,the top 500...The Changhe Aircraft IndustrialCompany under the China AviationIndustrial Corporation is the producerof the Zhi-8 helicopter.Since 1992,thecompany has been in the ranks of the top 500industrial enterprises,the top 500 profit earners,the top 100 machine-building enterprisesand the top 100 transport equipmentmanufacturers in China.It is one of the starenterprises in the country and has made greatcontributions to the country’s aviation industry.The company’s Zhi-8 helicopters are highlypraised by clients at home and abroad.TheChanghe brand minicab has been appraisedas a name-brand product and a trustworthyproduct on 10-odd occasions. In the past five years,the companyconducted reforms of its labour force,personnel assignment and wage distribution,thus changing the interior managementmechanism and promoting the healthydevelopment of its business.展开更多
In this paper, we observe the generalized Harmonic numbers H<sub>n,k,r</sub> (α,β). Using generating function, we investigate some new identities involving generalized Harmonic numbers H<sub>n,k,r&...In this paper, we observe the generalized Harmonic numbers H<sub>n,k,r</sub> (α,β). Using generating function, we investigate some new identities involving generalized Harmonic numbers H<sub>n,k,r</sub> (α,β) with Changhee sequences, Daehee sequences, Degenerate Changhee-Genoocchi sequences, Two kinds of degenerate Stirling numbers. Using Riordan arrays, we explore interesting relations between these polynomials, Apostol Bernoulli sequences, Apostol Euler sequences, Apostol Genoocchi sequences.展开更多
In this paper, we consider the Cauchy numbers and polynomials of order k and give some relation between Cauchy polynomials of order k and special polynomials by using generating functions and the Riordan matrix method...In this paper, we consider the Cauchy numbers and polynomials of order k and give some relation between Cauchy polynomials of order k and special polynomials by using generating functions and the Riordan matrix methods. In addition, we establish some new equalities and relations involving high-order Cauchy numbers and polynomials, high-order Daehee numbers and polynomials, the generalized Bell polynomials, the Bernoulli numbers and polynomials, high-order Changhee polynomials, high-order Changhee-Genocchi polynomials, the combinatorial numbers, Lah numbers and Stirling numbers, etc.展开更多
文摘In this paper, by the classical method of Riordan arrays, establish several general involving higher-order Changhee numbers and polynomials, which are related to special polynomials and numbers. From those numbers, we derive some interesting and new identities.
文摘The Changhe Aircraft IndustrialCompany under the China AviationIndustrial Corporation is the producerof the Zhi-8 helicopter.Since 1992,thecompany has been in the ranks of the top 500industrial enterprises,the top 500 profit earners,the top 100 machine-building enterprisesand the top 100 transport equipmentmanufacturers in China.It is one of the starenterprises in the country and has made greatcontributions to the country’s aviation industry.The company’s Zhi-8 helicopters are highlypraised by clients at home and abroad.TheChanghe brand minicab has been appraisedas a name-brand product and a trustworthyproduct on 10-odd occasions. In the past five years,the companyconducted reforms of its labour force,personnel assignment and wage distribution,thus changing the interior managementmechanism and promoting the healthydevelopment of its business.
文摘In this paper, we observe the generalized Harmonic numbers H<sub>n,k,r</sub> (α,β). Using generating function, we investigate some new identities involving generalized Harmonic numbers H<sub>n,k,r</sub> (α,β) with Changhee sequences, Daehee sequences, Degenerate Changhee-Genoocchi sequences, Two kinds of degenerate Stirling numbers. Using Riordan arrays, we explore interesting relations between these polynomials, Apostol Bernoulli sequences, Apostol Euler sequences, Apostol Genoocchi sequences.
文摘In this paper, we consider the Cauchy numbers and polynomials of order k and give some relation between Cauchy polynomials of order k and special polynomials by using generating functions and the Riordan matrix methods. In addition, we establish some new equalities and relations involving high-order Cauchy numbers and polynomials, high-order Daehee numbers and polynomials, the generalized Bell polynomials, the Bernoulli numbers and polynomials, high-order Changhee polynomials, high-order Changhee-Genocchi polynomials, the combinatorial numbers, Lah numbers and Stirling numbers, etc.
