Question: Who composed the music for this musical that the 1992 American animated film Aladdin gave inspiration for?

Context articles: Disney's Aladdin: A Musical Spectacular
One Jump Ahead (song)
Aladdin (1992 Golden Films film)
The Return of Jafar
Aladdin and the King of Thieves
Iubilaeum Anno Dracula 2001
Aladdin (Disney character)
Aladdin (1992 Disney film)
Aladdin (2011 musical)
Aladdin (franchise)

Disney's Aladdin: A Musical Spectacular was a Broadway-style show based on Disney's 1992 animated film "Aladdin" with music by Alan Menken and lyrics by Howard Ashman, Tim Rice and Alan Menken.
"One Jump Ahead" and its reprise are two songs from the 1992 Disney animated film "Aladdin".
 They are both performed by Aladdin (Brad Kane in the film, and Adam Jacobs in the musical).
Aladdin is a 49-minute animated film based on the classic "Arabian Nights" story, Aladdin and the magic lamp, translated by Antoine Galland.
 Like all other Golden Films productions, the film featured a single theme song, "Rub the Lamp", written and composed by Richard Hurwitz and John Arrias.
 It was released directly to video on April 27, 1992.
The Return of Jafar (also known as Aladdin 2: The Return of Jafar) is a 1994 direct-to-video sequel to the 1992 animated film "Aladdin", both produced by The Walt Disney Company.
 The film was released on May 20, 1994 and serves as the first episode of the "Aladdin" animated series.
 Culled from material originally intended for the first five episodes of the series, It was the first Disney direct-to-video animated film.
 Another direct-to-video sequel, "Aladdin and the King of Thieves", was released in 1996.
 It marked the first American animated direct-to-video film.
Aladdin and the King of Thieves (also known as Aladdin 3: Aladdin and the King of Thieves) is a 1996 animated film that is the second direct-to-video sequel to the Disney animated feature "Aladdin".
 The film serves as the final chapter of the "Arabian Nights"-inspired Disney stories beginning with the first film, and continued with its first direct-to-video sequel "The Return of Jafar" and the animated series of the same name.
A tribute to the historical character that has contributed to the creation of the myth of the vampire which gave inspiration to Bram Stoker for his famous novel.
 With these compositions we wish to celebrate the 570 years of the birth of an immortal myth, that has become for many, the main reference in the compiling of literary works as well as musical, theatrical and all other forms of art.
 A myth that will never die.
Aladdin is a fictional character and the protagonist of Disney's 1992 animated feature film "Aladdin", and its two direct-to-video sequels "The Return of Jafar" (1994) and "Aladdin and the King of Thieves" (1996).
 He also stars in the animated television series based on the film.
 In all animated productions, Aladdin is voiced by American actor Scott Weinger, while his singing voice is provided by Brad Kane.
 Mena Massoud is set to play a live-action version of the character in a live action adaptation of the 1992 film.
Aladdin is a 1992 American animated comedy musical romantic fantasy adventure film produced by Walt Disney Feature Animation for Walt Disney Pictures.
 The film is the 31st Disney animated feature film, and was the fourth produced during the Disney film era known as the Disney Renaissance.
 It was directed by John Musker and Ron Clements, and is based on the Arab-style folktale of the same name from "One Thousand and One Nights" and the French interpretation by Antoine Galland.
 The voice cast features Scott Weinger, Robin Williams, Linda Larkin, Jonathan Freeman, Frank Welker, Gilbert Gottfried and Douglas Seale.
 The film follows Aladdin, a street urchin, who finds a magic lamp containing a genie.
 In order to hide the lamp from the Grand vizier, he disguises himself as a wealthy prince, and tries to impress the Sultan and his daughter.
Aladdin is a musical based on the 1992 Disney animated film of the same name with music by Alan Menken and lyrics by Howard Ashman, Tim Rice and Chad Beguelin.
 Beguelin also wrote the book.
 The musical includes three songs written for the film by Ashman but not used there and four new songs written by Menken and Beguelin.
Aladdin is a Disney media franchise comprising a film series and additional media.
 The success of the original 1992 American animated feature of the same name, directed by Ron Clements and John Musker, led to two direct-to-video sequels, a television show (which had a crossover episode with "Hercules: The Animated Series"), a Broadway musical, various rides and themed areas in Disney's theme parks, several video games, and merchandise, among other related works.